Finding the Fourth Proportional to 10,385.05, 14,331.61 and 5,669.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.05 : 14,331.61 = 5,669.37 : x
2. Step 2: Convert to fraction form
   10,385.05/14,331.61 = 5,669.37/x
3. Step 3: Cross multiply
   10,385.05x = 14,331.61 × 5,669.37
4. Step 4: Simplify right side
   10,385.05x = 81,251,128.13
5. Step 5: Solve for x
   x = 81,251,128.13/10,385.05
6. Step 6: Final answer
   x = 7,823.86