Finding the Fourth Proportional to 10,228.77, 14,115.61 and 5,752.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.77 : 14,115.61 = 5,752.42 : x
2. Step 2: Convert to fraction form
   10,228.77/14,115.61 = 5,752.42/x
3. Step 3: Cross multiply
   10,228.77x = 14,115.61 × 5,752.42
4. Step 4: Simplify right side
   10,228.77x = 81,198,917.28
5. Step 5: Solve for x
   x = 81,198,917.28/10,228.77
6. Step 6: Final answer
   x = 7,938.29