Finding the Fourth Proportional to 10,382.34, 14,327.59 and 5,666.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.34 : 14,327.59 = 5,666.62 : x
2. Step 2: Convert to fraction form
   10,382.34/14,327.59 = 5,666.62/x
3. Step 3: Cross multiply
   10,382.34x = 14,327.59 × 5,666.62
4. Step 4: Simplify right side
   10,382.34x = 81,189,008.05
5. Step 5: Solve for x
   x = 81,189,008.05/10,382.34
6. Step 6: Final answer
   x = 7,819.91