Finding the Fourth Proportional to 10,381.34, 14,326.21 and 5,665.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.34 : 14,326.21 = 5,665.62 : x
2. Step 2: Convert to fraction form
   10,381.34/14,326.21 = 5,665.62/x
3. Step 3: Cross multiply
   10,381.34x = 14,326.21 × 5,665.62
4. Step 4: Simplify right side
   10,381.34x = 81,166,847.74
5. Step 5: Solve for x
   x = 81,166,847.74/10,381.34
6. Step 6: Final answer
   x = 7,818.53