Finding the Fourth Proportional to 10,381.72, 14,326.81 and 5,666.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.72 : 14,326.81 = 5,666.10 : x
2. Step 2: Convert to fraction form
   10,381.72/14,326.81 = 5,666.10/x
3. Step 3: Cross multiply
   10,381.72x = 14,326.81 × 5,666.10
4. Step 4: Simplify right side
   10,381.72x = 81,177,138.14
5. Step 5: Solve for x
   x = 81,177,138.14/10,381.72
6. Step 6: Final answer
   x = 7,819.24