Finding the Fourth Proportional to 10,382.28, 14,327.50 and 5,666.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.28 : 14,327.50 = 5,666.56 : x
2. Step 2: Convert to fraction form
   10,382.28/14,327.50 = 5,666.56/x
3. Step 3: Cross multiply
   10,382.28x = 14,327.50 × 5,666.56
4. Step 4: Simplify right side
   10,382.28x = 81,187,599.04
5. Step 5: Solve for x
   x = 81,187,599.04/10,382.28
6. Step 6: Final answer
   x = 7,819.83