Finding the Fourth Proportional to 10,404.64, 14,358.28 and 5,688.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.64 : 14,358.28 = 5,688.80 : x
2. Step 2: Convert to fraction form
   10,404.64/14,358.28 = 5,688.80/x
3. Step 3: Cross multiply
   10,404.64x = 14,358.28 × 5,688.80
4. Step 4: Simplify right side
   10,404.64x = 81,681,383.26
5. Step 5: Solve for x
   x = 81,681,383.26/10,404.64
6. Step 6: Final answer
   x = 7,850.48