Finding the Fourth Proportional to 10,930.10, 16,359.89 and 5,657.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,930.10 : 16,359.89 = 5,657.85 : x
2. Step 2: Convert to fraction form
   10,930.10/16,359.89 = 5,657.85/x
3. Step 3: Cross multiply
   10,930.10x = 16,359.89 × 5,657.85
4. Step 4: Simplify right side
   10,930.10x = 92,561,775.35
5. Step 5: Solve for x
   x = 92,561,775.35/10,930.10
6. Step 6: Final answer
   x = 8,468.52