Finding the Fourth Proportional to 10,381.71, 14,326.82 and 5,666.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.71 : 14,326.82 = 5,666.02 : x
2. Step 2: Convert to fraction form
   10,381.71/14,326.82 = 5,666.02/x
3. Step 3: Cross multiply
   10,381.71x = 14,326.82 × 5,666.02
4. Step 4: Simplify right side
   10,381.71x = 81,176,048.66
5. Step 5: Solve for x
   x = 81,176,048.66/10,381.71
6. Step 6: Final answer
   x = 7,819.14