Finding the Fourth Proportional to 10,381.38, 14,326.52 and 5,665.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.38 : 14,326.52 = 5,665.66 : x
2. Step 2: Convert to fraction form
   10,381.38/14,326.52 = 5,665.66/x
3. Step 3: Cross multiply
   10,381.38x = 14,326.52 × 5,665.66
4. Step 4: Simplify right side
   10,381.38x = 81,169,191.30
5. Step 5: Solve for x
   x = 81,169,191.30/10,381.38
6. Step 6: Final answer
   x = 7,818.73