Finding the Fourth Proportional to 10,640.86, 14,685.38 and 5,925.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.86 : 14,685.38 = 5,925.85 : x
2. Step 2: Convert to fraction form
   10,640.86/14,685.38 = 5,925.85/x
3. Step 3: Cross multiply
   10,640.86x = 14,685.38 × 5,925.85
4. Step 4: Simplify right side
   10,640.86x = 87,023,359.07
5. Step 5: Solve for x
   x = 87,023,359.07/10,640.86
6. Step 6: Final answer
   x = 8,178.23