Finding the Fourth Proportional to 2,256.30, 3,114.77 and 1,417.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.30 : 3,114.77 = 1,417.43 : x
2. Step 2: Convert to fraction form
   2,256.30/3,114.77 = 1,417.43/x
3. Step 3: Cross multiply
   2,256.30x = 3,114.77 × 1,417.43
4. Step 4: Simplify right side
   2,256.30x = 4,414,969.14
5. Step 5: Solve for x
   x = 4,414,969.14/2,256.30
6. Step 6: Final answer
   x = 1,956.73