Finding the Fourth Proportional to 9,665.04, 13,340.39 and 5,687.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.04 : 13,340.39 = 5,687.43 : x
2. Step 2: Convert to fraction form
   9,665.04/13,340.39 = 5,687.43/x
3. Step 3: Cross multiply
   9,665.04x = 13,340.39 × 5,687.43
4. Step 4: Simplify right side
   9,665.04x = 75,872,505.86
5. Step 5: Solve for x
   x = 75,872,505.86/9,665.04
6. Step 6: Final answer
   x = 7,850.20