Finding the Fourth Proportional to 11,142.64, 15,363.84 and 9,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142.64 : 15,363.84 = 9,256.42 : x
2. Step 2: Convert to fraction form
   11,142.64/15,363.84 = 9,256.42/x
3. Step 3: Cross multiply
   11,142.64x = 15,363.84 × 9,256.42
4. Step 4: Simplify right side
   11,142.64x = 142,214,155.85
5. Step 5: Solve for x
   x = 142,214,155.85/11,142.64
6. Step 6: Final answer
   x = 12,763.06