Fiona, Kylie, Sabrina and Jade jointly contributed to the cost of a present for their sister. Fiona's contribution is ⁴₉ of the total contribution made by the four girls. The ratio of Jade's contribution to the total of Kylie's and Sabrina's contribution is 4 : 1. What is the total contribution by the four girls if Kylie's contribution is ²₇ of Sabrina's contribution and the total amount contributed by Fiona and Jade is $1152?

Fiona	Kylie	Sabrina	Jade	Total
4x9	5x9			9x9
	1x9		4x9
	2x1	7x1
36 u	2 u	7 u	36 u	81 u

Working backwards.

Total amount that Kylie and Sabrina had is the combined repeated identity.
LCM of 1 and 9 = 9

Total amount that Kylie, Sabrina and Jade had is the next combined repeated identity.
LCM of 5 and 9 = 45 

Total amount contributed by Fiona and Jade
= 36 u + 36 u
= 72 u

72 u = 1152

1 u = 1152 ÷ 72 = $16

Total contribution by the four girls
= 81 u
= 81 x 16
= $1296

Answer(s): $1296