Finding the Fourth Proportional to 10,385.67, 14,331.83 and 5,669.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.67 : 14,331.83 = 5,669.99 : x
2. Step 2: Convert to fraction form
   10,385.67/14,331.83 = 5,669.99/x
3. Step 3: Cross multiply
   10,385.67x = 14,331.83 × 5,669.99
4. Step 4: Simplify right side
   10,385.67x = 81,261,232.77
5. Step 5: Solve for x
   x = 81,261,232.77/10,385.67
6. Step 6: Final answer
   x = 7,824.36