Assuming that the prize of each third prize is X yuan, then the prize of each second prize is 2x yuan, and the prize of each first prize is 4x yuan. If you judge a first prize, two second prizes and three third prizes, then according to the meaning of the question, there are
4x+2*2x+3*x= 1078 and x=98, then the prize of each first prize is 4x=4×98=392 yuan.