Finding the Fourth Proportional to 2,256.64, 3,114.24 and 1,261.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.64 : 3,114.24 = 1,261.96 : x
2. Step 2: Convert to fraction form
   2,256.64/3,114.24 = 1,261.96/x
3. Step 3: Cross multiply
   2,256.64x = 3,114.24 × 1,261.96
4. Step 4: Simplify right side
   2,256.64x = 3,930,046.31
5. Step 5: Solve for x
   x = 3,930,046.31/2,256.64
6. Step 6: Final answer
   x = 1,741.55