Finding the Fourth Proportional to 10,578.47, 15,874.88 and 5,651.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.47 : 15,874.88 = 5,651.64 : x
2. Step 2: Convert to fraction form
   10,578.47/15,874.88 = 5,651.64/x
3. Step 3: Cross multiply
   10,578.47x = 15,874.88 × 5,651.64
4. Step 4: Simplify right side
   10,578.47x = 89,719,078.55
5. Step 5: Solve for x
   x = 89,719,078.55/10,578.47
6. Step 6: Final answer
   x = 8,481.29