The fishing boat captain who drowned when his vessel sank off Alaska's Aleutian Islands died doing what he believed was his calling: manning a ship and sacrificing his life to save others when trouble arose in the rough waters, his daughter said.

Capt. Eric Peter Jacobsen, 65, was among four crew members who perished in the accident early Easter morning. A fifth remains missing and is presumed dead.

"I think that’s the way he would have wanted to go," Karen Jacobsen, 43, of Hingham, Mass., said in a phone interview. "He died doing what he loved to do — and really, he was a hero."

The Coast Guard searched through the night for the ship's missing crew member. The Seattle-based Alaska Ranger started taking on water shortly before 3 a.m. Sunday after losing control of its rudder 120 miles west of Dutch Harbor, which is on Unalaska Island.

The 42 other crew members were rescued.

"He always said he would be the last one out if anything ever happened and would go down with the ship to save people," Jacobsen said. The crew respected her father and affectionately called him "Captain Pete," she told FOXNews.com in an interview.

Jacobsen said she hadn't seen her dad since her college graduation in 1999 because of his long months away at sea, but she spoke to him often.

In fact, it's her father's kind voice — the one to issue the final "Mayday!" call that's been played on TV and the Internet — that will stay with her, she said.

"Mostly what I remember is his voice," Jacobsen said. "What really got to me was when I heard the 'Mayday!' call. Who wants to listen to their father right before he dies? Me and my brother cried when we heard it."

One person fell into the water from a rescue basket as it was being lifted into a rescue helicopter, Coast Guard Lt. Eric Eggan said. It was not immediately clear if that was the missing crew member.

"It could be, but we're not sure," he said.

The helicopter was low on fuel and could not perform an immediate search, Eggan said. The incident is under investigation.

The 184-foot ship's owner, the Fishing Company of Alaska, said in a statement that it did "not have sufficient information to determine why the vessel foundered."

Seas with up to 8-foot waves and 25-knot winds were reported at the time the ship sank, said Chief Petty Officer Barry Lane. He said the Coast Guard was investigating the cause of the sinking.

Some of those on board the Alaska Ranger were taken to Dutch Harbor in the sunken vessel's sister ship, the Alaska Warrior. The ship arrived about midnight at a private dock, where access to survivors was not allowed. The vessel took part in the rescue operation along with two Coast Guard helicopters that were used to pluck crew members from the water and from life rafts, Lane said.

At least 13 of the crew members were not in life rafts, and were picked out of the ocean along a one-mile stretch. They were wearing survival suits and had strobe lights on.

Other survivors were on board the Coast Guard cutter Munro, which remained at the scene to search for the missing crew member. A C-130 also remained to help search for the missing crew member, whose name was not released.

Coast Guard officials said it was unknown how or when the four died.

In addition to Capt. Jacobsen, the company identified the dead as chief engineer Daniel Cook, mate David Silveira and crewman Byron Carrillo.

"They were incredibly brave, hard working men. Our hearts are broken," the company said in a statement. The men's ages and hometowns were not released.

Karen Jacobsen, who works as a dietitian in a nursing home, said her dad and mom got divorced when she was 9, and he left their home in suburban Boston for Alaska to be at sea. He later remarried and had another daughter in the Seattle area. Jacobsen has one younger brother.

Her father's only real flaw, she said, was also one of his greatest strengths: his dedication to his job as a sea captain.

"He was a workaholic — that was the only down part," Jacobsen said. "He would work eight to 10 months a year. We didn't see him much. His own family out there didn't see him much."

But because he called regularly when his ship docked, she knew her dad — a third-generation sea captain — cared about her deeply and thought of her frequently.

"We spoke often," she said. "He would tell me he loved me and my brother."

State environmental regulators were notified that the ship was carrying 145,000 gallons of diesel when it sank in deep seas, according to Leslie Pearson, emergency response manager for the Alaska Department of Environmental Conservation.

According to initial reports, an oil sheen covered an area of a quarter mile by a half mile, Coast Guard spokesman Ray Dwyer said. The strong winds made any cleanup effort unlikely, but those conditions would disperse a spill much more quickly than calm weather, Pearson said.

In December, an engine fire damaged another of the company's ships, the Alaska Patriot, while it was docked near Dutch Harbor. No one was injured in the blaze.

In 2006, the Fishing Company of Alaska, the owner of a catcher-processor ship it managed and the ship's captains were fined a combined $254,500. The National Oceanic and Atmospheric Administration's Fisheries Service said the company — as well as the ship's owner, Alaska Juris Inc., and its captains — committed numerous violations, such as tampering with or destroying equipment used by industry observers and failing to provide observers a safe work area.

Federal officials said the case stemmed from a multiyear investigation that documented a range of federal violations, including keeping inaccurate information on required reports and fishing contrary to seasonal closures.

Now that her father is gone, it soothes Karen Jacobsen to remember that he read the Bible every day, prayed and had a strong faith.

"It comforts me to know that he's with God now," Jacobsen said. "I really believe that."

FOX News' Catherine Donaldson-Evans and The Associated Press contributed to this report.