Finding the Fourth Proportional to 3,105.10, 4,658.56 and 1,255.26

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.10 : 4,658.56 = 1,255.26 : x
2. Step 2: Convert to fraction form
   3,105.10/4,658.56 = 1,255.26/x
3. Step 3: Cross multiply
   3,105.10x = 4,658.56 × 1,255.26
4. Step 4: Simplify right side
   3,105.10x = 5,847,704.03
5. Step 5: Solve for x
   x = 5,847,704.03/3,105.10
6. Step 6: Final answer
   x = 1,883.26