Finding the Fourth Proportional to 10,291.72, 14,202.42 and 5,815.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.72 : 14,202.42 = 5,815.32 : x
2. Step 2: Convert to fraction form
   10,291.72/14,202.42 = 5,815.32/x
3. Step 3: Cross multiply
   10,291.72x = 14,202.42 × 5,815.32
4. Step 4: Simplify right side
   10,291.72x = 82,591,617.07
5. Step 5: Solve for x
   x = 82,591,617.07/10,291.72
6. Step 6: Final answer
   x = 8,025.05