Finding the Fourth Proportional to 10,380.72, 14,325.44 and 5,665.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.72 : 14,325.44 = 5,665.10 : x
2. Step 2: Convert to fraction form
   10,380.72/14,325.44 = 5,665.10/x
3. Step 3: Cross multiply
   10,380.72x = 14,325.44 × 5,665.10
4. Step 4: Simplify right side
   10,380.72x = 81,155,050.14
5. Step 5: Solve for x
   x = 81,155,050.14/10,380.72
6. Step 6: Final answer
   x = 7,817.86