Finding the Fourth Proportional to 2,256.40, 3,113.85 and 1,261.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.40 : 3,113.85 = 1,261.72 : x
2. Step 2: Convert to fraction form
   2,256.40/3,113.85 = 1,261.72/x
3. Step 3: Cross multiply
   2,256.40x = 3,113.85 × 1,261.72
4. Step 4: Simplify right side
   2,256.40x = 3,928,806.82
5. Step 5: Solve for x
   x = 3,928,806.82/2,256.40
6. Step 6: Final answer
   x = 1,741.18