Finding the Fourth Proportional to 10,382.59, 14,327.96 and 5,666.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.59 : 14,327.96 = 5,666.87 : x
2. Step 2: Convert to fraction form
   10,382.59/14,327.96 = 5,666.87/x
3. Step 3: Cross multiply
   10,382.59x = 14,327.96 × 5,666.87
4. Step 4: Simplify right side
   10,382.59x = 81,194,686.69
5. Step 5: Solve for x
   x = 81,194,686.69/10,382.59
6. Step 6: Final answer
   x = 7,820.27