Finding the Fourth Proportional to 10,382.07, 14,327.10 and 5,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.07 : 14,327.10 = 5,666.25 : x
2. Step 2: Convert to fraction form
   10,382.07/14,327.10 = 5,666.25/x
3. Step 3: Cross multiply
   10,382.07x = 14,327.10 × 5,666.25
4. Step 4: Simplify right side
   10,382.07x = 81,180,930.38
5. Step 5: Solve for x
   x = 81,180,930.38/10,382.07
6. Step 6: Final answer
   x = 7,819.34