Finding the Fourth Proportional to 10,414.61, 14,371.89 and 6,165.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.61 : 14,371.89 = 6,165.72 : x
2. Step 2: Convert to fraction form
   10,414.61/14,371.89 = 6,165.72/x
3. Step 3: Cross multiply
   10,414.61x = 14,371.89 × 6,165.72
4. Step 4: Simplify right side
   10,414.61x = 88,613,049.61
5. Step 5: Solve for x
   x = 88,613,049.61/10,414.61
6. Step 6: Final answer
   x = 8,508.54