Finding the Fourth Proportional to 10,385.13, 14,331.42 and 5,669.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.13 : 14,331.42 = 5,669.46 : x
2. Step 2: Convert to fraction form
   10,385.13/14,331.42 = 5,669.46/x
3. Step 3: Cross multiply
   10,385.13x = 14,331.42 × 5,669.46
4. Step 4: Simplify right side
   10,385.13x = 81,251,412.43
5. Step 5: Solve for x
   x = 81,251,412.43/10,385.13
6. Step 6: Final answer
   x = 7,823.82