Finding the Fourth Proportional to 10,382.14, 14,327.38 and 5,666.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.14 : 14,327.38 = 5,666.42 : x
2. Step 2: Convert to fraction form
   10,382.14/14,327.38 = 5,666.42/x
3. Step 3: Cross multiply
   10,382.14x = 14,327.38 × 5,666.42
4. Step 4: Simplify right side
   10,382.14x = 81,184,995.48
5. Step 5: Solve for x
   x = 81,184,995.48/10,382.14
6. Step 6: Final answer
   x = 7,819.68