Finding the Fourth Proportional to 10,381.57, 14,326.07 and 5,665.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.57 : 14,326.07 = 5,665.85 : x
2. Step 2: Convert to fraction form
   10,381.57/14,326.07 = 5,665.85/x
3. Step 3: Cross multiply
   10,381.57x = 14,326.07 × 5,665.85
4. Step 4: Simplify right side
   10,381.57x = 81,169,317.47
5. Step 5: Solve for x
   x = 81,169,317.47/10,381.57
6. Step 6: Final answer
   x = 7,818.60