Finding the Fourth Proportional to 3,105.49, 4,658.41 and 1,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.49 : 4,658.41 = 1,256.56 : x
2. Step 2: Convert to fraction form
   3,105.49/4,658.41 = 1,256.56/x
3. Step 3: Cross multiply
   3,105.49x = 4,658.41 × 1,256.56
4. Step 4: Simplify right side
   3,105.49x = 5,853,587.80
5. Step 5: Solve for x
   x = 5,853,587.80/3,105.49
6. Step 6: Final answer
   x = 1,884.92