Finding the Fourth Proportional to 10,382.43, 14,327.60 and 5,666.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.43 : 14,327.60 = 5,666.40 : x
2. Step 2: Convert to fraction form
   10,382.43/14,327.60 = 5,666.40/x
3. Step 3: Cross multiply
   10,382.43x = 14,327.60 × 5,666.40
4. Step 4: Simplify right side
   10,382.43x = 81,185,812.67
5. Step 5: Solve for x
   x = 81,185,812.67/10,382.43
6. Step 6: Final answer
   x = 7,819.54