Answer
No, the claim is not reasonable.
Work Step by Step
Since the theater has $18$ rows with $28$ seats per row, then the total seats in the theater is
$$
18(28)=504\text{ seats}
.$$
Given that there are $445$ adults in the show, then the number of children is
$$
504-445=59\text{ children}
.$$
Since an adult ticket costs $\$4$ and a child ticket costs $\$2.50$, then the revenue is
$$
445(4)+59(2.50)=1780+147.5=1927.5\text{ dollars}
.$$
Hence, the claim that the revenue is $\$1935$ is not reasonable.