Finding the Fourth Proportional to 10,653.87, 14,677.83 and 8,414.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,653.87 : 14,677.83 = 8,414.94 : x
2. Step 2: Convert to fraction form
   10,653.87/14,677.83 = 8,414.94/x
3. Step 3: Cross multiply
   10,653.87x = 14,677.83 × 8,414.94
4. Step 4: Simplify right side
   10,653.87x = 123,513,058.78
5. Step 5: Solve for x
   x = 123,513,058.78/10,653.87
6. Step 6: Final answer
   x = 11,593.26