Finding the Fourth Proportional to 10,404.31, 14,358 and 5,688.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.31 : 14,358 = 5,688.60 : x
2. Step 2: Convert to fraction form
   10,404.31/14,358 = 5,688.60/x
3. Step 3: Cross multiply
   10,404.31x = 14,358 × 5,688.60
4. Step 4: Simplify right side
   10,404.31x = 81,676,918.80
5. Step 5: Solve for x
   x = 81,676,918.80/10,404.31
6. Step 6: Final answer
   x = 7,850.30