Finding the Fourth Proportional to 10,282.10, 15,419.55 and 5,350.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.10 : 15,419.55 = 5,350.10 : x
2. Step 2: Convert to fraction form
   10,282.10/15,419.55 = 5,350.10/x
3. Step 3: Cross multiply
   10,282.10x = 15,419.55 × 5,350.10
4. Step 4: Simplify right side
   10,282.10x = 82,496,134.46
5. Step 5: Solve for x
   x = 82,496,134.46/10,282.10
6. Step 6: Final answer
   x = 8,023.28