\[(x+24{,}3):18{,}1=4\frac34+\frac14=5.\]
\[x+24{,}3=18{,}1\cdot5=90{,}5.\]
\[x=90{,}5-24{,}3=66{,}2.\]
Ответ: \(x=66{,}2\).