A man shot by police after he engaged Conroe Police officers in gunfire Sunday morning has died.Conroe Police Chief Philip Dupuis confirmed Monday morning Greg Kocian, 33 of Cleveland, who was taken to Conroe Regional Medical Center, had been pronounced dead. While several shots were fired, Kocian was only hit onceKocian, court records show, had a lengthy criminal history.Officers found two handguns in the vehicle. There was also a passenger who was not injured and answered questions. It had not been determined whether that man would face any charges.Dupuis said there was a dog in Kocian's vehicle that officers had to mace. He said the dog was captured by animal control officers and was not injured.