Finding the Fourth Proportional to 10,382.07, 14,327.34 and 5,666.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.07 : 14,327.34 = 5,666.46 : x
2. Step 2: Convert to fraction form
   10,382.07/14,327.34 = 5,666.46/x
3. Step 3: Cross multiply
   10,382.07x = 14,327.34 × 5,666.46
4. Step 4: Simplify right side
   10,382.07x = 81,185,299.02
5. Step 5: Solve for x
   x = 81,185,299.02/10,382.07
6. Step 6: Final answer
   x = 7,819.76