Finding the Fourth Proportional to 10,380.71, 14,325.44 and 5,665.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.71 : 14,325.44 = 5,665.02 : x
2. Step 2: Convert to fraction form
   10,380.71/14,325.44 = 5,665.02/x
3. Step 3: Cross multiply
   10,380.71x = 14,325.44 × 5,665.02
4. Step 4: Simplify right side
   10,380.71x = 81,153,875.78
5. Step 5: Solve for x
   x = 81,153,875.78/10,380.71
6. Step 6: Final answer
   x = 7,817.76