Finding the Fourth Proportional to 10,256, 14,153.29 and 5,540.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 14,153.29 = 5,540.28 : x
2. Step 2: Convert to fraction form
   10,256/14,153.29 = 5,540.28/x
3. Step 3: Cross multiply
   10,256x = 14,153.29 × 5,540.28
4. Step 4: Simplify right side
   10,256x = 78,413,189.52
5. Step 5: Solve for x
   x = 78,413,189.52/10,256
6. Step 6: Final answer
   x = 7,645.59