Finding the Fourth Proportional to 10,404.32, 14,357.96 and 5,688.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.32 : 14,357.96 = 5,688.60 : x
2. Step 2: Convert to fraction form
   10,404.32/14,357.96 = 5,688.60/x
3. Step 3: Cross multiply
   10,404.32x = 14,357.96 × 5,688.60
4. Step 4: Simplify right side
   10,404.32x = 81,676,691.26
5. Step 5: Solve for x
   x = 81,676,691.26/10,404.32
6. Step 6: Final answer
   x = 7,850.27