David Cassidy is in the hospital in an induced coma in critical condition, his organs are shutting down, and, as one source put it, "It's looking grim." We're told David was rushed to a Florida hospital 3 days ago ... and his condition has been worsening since his admission. We're told he's suffering from organ failure and unless he gets a liver transplant soon he could soon die. We're also told he's suffering from kidney failure. David's family has been arriving at the hospital to comfort him.