Finding the Fourth Proportional to 9,128.24, 12,596.64 and 5,149.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.24 : 12,596.64 = 5,149.28 : x
2. Step 2: Convert to fraction form
   9,128.24/12,596.64 = 5,149.28/x
3. Step 3: Cross multiply
   9,128.24x = 12,596.64 × 5,149.28
4. Step 4: Simplify right side
   9,128.24x = 64,863,626.42
5. Step 5: Solve for x
   x = 64,863,626.42/9,128.24
6. Step 6: Final answer
   x = 7,105.82