A performer is shot out of a cannon from a height of 4.5 meters. The performer reaches a maximum height of 10.7 meters after traveling 15.2 meters horizontally, and then it lands in a net 27.4 meters from the cannon. The path of the performer can be modeled by a parabola, where y is the height (in meters) and x is the horizontal distance traveled (in meters). What is the height of the net?