Finding the Fourth Proportional to 10,629.59, 14,669.10 and 5,914.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.59 : 14,669.10 = 5,914.17 : x
2. Step 2: Convert to fraction form
   10,629.59/14,669.10 = 5,914.17/x
3. Step 3: Cross multiply
   10,629.59x = 14,669.10 × 5,914.17
4. Step 4: Simplify right side
   10,629.59x = 86,755,551.15
5. Step 5: Solve for x
   x = 86,755,551.15/10,629.59
6. Step 6: Final answer
   x = 8,161.71