Finding the Fourth Proportional to 10,601.86, 14,632.74 and 7,414.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601.86 : 14,632.74 = 7,414.30 : x
2. Step 2: Convert to fraction form
   10,601.86/14,632.74 = 7,414.30/x
3. Step 3: Cross multiply
   10,601.86x = 14,632.74 × 7,414.30
4. Step 4: Simplify right side
   10,601.86x = 108,491,524.18
5. Step 5: Solve for x
   x = 108,491,524.18/10,601.86
6. Step 6: Final answer
   x = 10,233.25