Finding the Fourth Proportional to 9,116.88, 12,578.96 and 5,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.88 : 12,578.96 = 5,577.60 : x
2. Step 2: Convert to fraction form
   9,116.88/12,578.96 = 5,577.60/x
3. Step 3: Cross multiply
   9,116.88x = 12,578.96 × 5,577.60
4. Step 4: Simplify right side
   9,116.88x = 70,160,407.30
5. Step 5: Solve for x
   x = 70,160,407.30/9,116.88
6. Step 6: Final answer
   x = 7,695.66