Finding the Fourth Proportional to 2,256.50, 3,113.76 and 1,261.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.50 : 3,113.76 = 1,261.76 : x
2. Step 2: Convert to fraction form
   2,256.50/3,113.76 = 1,261.76/x
3. Step 3: Cross multiply
   2,256.50x = 3,113.76 × 1,261.76
4. Step 4: Simplify right side
   2,256.50x = 3,928,802.25
5. Step 5: Solve for x
   x = 3,928,802.25/2,256.50
6. Step 6: Final answer
   x = 1,741.11