Finding the Fourth Proportional to 10,381.40, 14,326.40 and 5,665.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.40 : 14,326.40 = 5,665.79 : x
2. Step 2: Convert to fraction form
   10,381.40/14,326.40 = 5,665.79/x
3. Step 3: Cross multiply
   10,381.40x = 14,326.40 × 5,665.79
4. Step 4: Simplify right side
   10,381.40x = 81,170,273.90
5. Step 5: Solve for x
   x = 81,170,273.90/10,381.40
6. Step 6: Final answer
   x = 7,818.82