Finding the Fourth Proportional to 10,382.52, 14,327.82 and 5,666.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.52 : 14,327.82 = 5,666.70 : x
2. Step 2: Convert to fraction form
   10,382.52/14,327.82 = 5,666.70/x
3. Step 3: Cross multiply
   10,382.52x = 14,327.82 × 5,666.70
4. Step 4: Simplify right side
   10,382.52x = 81,191,457.59
5. Step 5: Solve for x
   x = 81,191,457.59/10,382.52
6. Step 6: Final answer
   x = 7,820.01