Finding the Fourth Proportional to 10,382.27, 14,327.73 and 5,666.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.27 : 14,327.73 = 5,666.54 : x
2. Step 2: Convert to fraction form
   10,382.27/14,327.73 = 5,666.54/x
3. Step 3: Cross multiply
   10,382.27x = 14,327.73 × 5,666.54
4. Step 4: Simplify right side
   10,382.27x = 81,188,583.52
5. Step 5: Solve for x
   x = 81,188,583.52/10,382.27
6. Step 6: Final answer
   x = 7,819.93