468 people were killed  in New York City’s 11 public hospitals in the past five years, due to medical misconduct.

The vast majority of wrongful-death cases filed against the Health and Hospital Corp. system in the last five years — 88 percent — remain open, leaving hundreds of bereaved families in financial limbo for years on end.

The city has paid out $34 million to 56 families since 2014, according to a Post analysis of city comptroller data obtained through a Freedom of Information request. More than 400 cases are pending.