Finding what multiples to a target number, multiple cells.

Hello- I am trying to figure out if there is a function in excel, to determine what numbers 'x' must be to get a sum total of $21,843.00..

Missing # Multiplier SUM
A X $180.00 $- (X*180)
B X $180.00 $- (X*180)
C X $92.00 $- (X*92)
D X $92.00 $- (X*92)
E X $92.00 $- (X*92)

$21,843.00 (Total of all sums aka target number)


I can use excel and type in numbers individually until it sums up to correct number, but that takes a long time. I am looking for a shortcut. Does anyone have an idea?