Finding the Fourth Proportional to 10,382.04, 14,327.30 and 5,666.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.04 : 14,327.30 = 5,666.40 : x
2. Step 2: Convert to fraction form
   10,382.04/14,327.30 = 5,666.40/x
3. Step 3: Cross multiply
   10,382.04x = 14,327.30 × 5,666.40
4. Step 4: Simplify right side
   10,382.04x = 81,184,212.72
5. Step 5: Solve for x
   x = 81,184,212.72/10,382.04
6. Step 6: Final answer
   x = 7,819.68