Finding the Fourth Proportional to 10,256.16, 14,153.50 and 5,540.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.16 : 14,153.50 = 5,540.44 : x
2. Step 2: Convert to fraction form
   10,256.16/14,153.50 = 5,540.44/x
3. Step 3: Cross multiply
   10,256.16x = 14,153.50 × 5,540.44
4. Step 4: Simplify right side
   10,256.16x = 78,416,617.54
5. Step 5: Solve for x
   x = 78,416,617.54/10,256.16
6. Step 6: Final answer
   x = 7,645.81