Finding the Fourth Proportional to 10,404.96, 14,359.14 and 5,689.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.96 : 14,359.14 = 5,689.32 : x
2. Step 2: Convert to fraction form
   10,404.96/14,359.14 = 5,689.32/x
3. Step 3: Cross multiply
   10,404.96x = 14,359.14 × 5,689.32
4. Step 4: Simplify right side
   10,404.96x = 81,693,742.38
5. Step 5: Solve for x
   x = 81,693,742.38/10,404.96
6. Step 6: Final answer
   x = 7,851.42