What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
During descent and approach to land at ft. Myers, FL (kfmy) flight instructor and student experienced a stuck throttle. Instructor could not add power to control descent. The instructor was eventually able to free the stuck throttle but engine did not respond to inputs. Rather than initiate an emergency landing in a subdivision the instructor elected to deploy the caps and land in the river, away from populated areas. Subsequent inspection of the aircraft by the NTSB it was determined that the throttle cable had separated from the swedged fitting that attaches to the fuel servo.
As the FAA filed it
DURING DESCENT AND APPROACH TO LAND AT FT. MYERS, FL (KFMY) FLIGHT INSTRUCTOR AND STUDENT EXPERIENCED A STUCK THROTTLE. INSTRUCTOR COULD NOT ADD POWER TO CONTROL DESCENT. THE INSTRUCTOR WAS EVENTUALLY ABLE TO FREE THE STUCK THROTTLE BUT ENGINE DID NOT RESPOND TO INPUTS. RATHER THAN INITIATE AN EMERGENCY LANDING IN A SUBDIVISION THE INSTRUCTOR ELECTED TO DEPLOY THE CAPS AND LAND IN THE RIVER, AWAY FROM POPULATED AREAS. SUBSEQUENT INSPECTION OF THE AIRCRAFT BY THE NTSB IT WAS DETERMINED THAT THE THROTTLE CABLE HAD SEPARATED FROM THE SWEDGED FITTING THAT ATTACHES TO THE FUEL SERVO.