Finding the Fourth Proportional to 2,256.74, 3,114.24 and 1,261.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.74 : 3,114.24 = 1,261.95 : x
2. Step 2: Convert to fraction form
   2,256.74/3,114.24 = 1,261.95/x
3. Step 3: Cross multiply
   2,256.74x = 3,114.24 × 1,261.95
4. Step 4: Simplify right side
   2,256.74x = 3,930,015.17
5. Step 5: Solve for x
   x = 3,930,015.17/2,256.74
6. Step 6: Final answer
   x = 1,741.46