Finding the Fourth Proportional to 10,381.14, 14,325.75 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.14 : 14,325.75 = 5,665.50 : x
2. Step 2: Convert to fraction form
   10,381.14/14,325.75 = 5,665.50/x
3. Step 3: Cross multiply
   10,381.14x = 14,325.75 × 5,665.50
4. Step 4: Simplify right side
   10,381.14x = 81,162,536.63
5. Step 5: Solve for x
   x = 81,162,536.63/10,381.14
6. Step 6: Final answer
   x = 7,818.27