Finding the Fourth Proportional to 2,256.61, 3,114.14 and 1,261.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.61 : 3,114.14 = 1,261.93 : x
2. Step 2: Convert to fraction form
   2,256.61/3,114.14 = 1,261.93/x
3. Step 3: Cross multiply
   2,256.61x = 3,114.14 × 1,261.93
4. Step 4: Simplify right side
   2,256.61x = 3,929,826.69
5. Step 5: Solve for x
   x = 3,929,826.69/2,256.61
6. Step 6: Final answer
   x = 1,741.47