Finding the Fourth Proportional to 10,385.20, 14,331.87 and 5,669.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.20 : 14,331.87 = 5,669.78 : x
2. Step 2: Convert to fraction form
   10,385.20/14,331.87 = 5,669.78/x
3. Step 3: Cross multiply
   10,385.20x = 14,331.87 × 5,669.78
4. Step 4: Simplify right side
   10,385.20x = 81,258,549.89
5. Step 5: Solve for x
   x = 81,258,549.89/10,385.20
6. Step 6: Final answer
   x = 7,824.46