Finding the Fourth Proportional to 10,385.48, 14,331.96 and 5,669.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.48 : 14,331.96 = 5,669.76 : x
2. Step 2: Convert to fraction form
   10,385.48/14,331.96 = 5,669.76/x
3. Step 3: Cross multiply
   10,385.48x = 14,331.96 × 5,669.76
4. Step 4: Simplify right side
   10,385.48x = 81,258,773.53
5. Step 5: Solve for x
   x = 81,258,773.53/10,385.48
6. Step 6: Final answer
   x = 7,824.27