Finding the Fourth Proportional to 10,381.82, 14,327.25 and 5,666.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.82 : 14,327.25 = 5,666.10 : x
2. Step 2: Convert to fraction form
   10,381.82/14,327.25 = 5,666.10/x
3. Step 3: Cross multiply
   10,381.82x = 14,327.25 × 5,666.10
4. Step 4: Simplify right side
   10,381.82x = 81,179,684.65
5. Step 5: Solve for x
   x = 81,179,684.65/10,381.82
6. Step 6: Final answer
   x = 7,819.41