Finding the Fourth Proportional to 2,256, 3,113.58 and 1,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256 : 3,113.58 = 1,324.50 : x
2. Step 2: Convert to fraction form
   2,256/3,113.58 = 1,324.50/x
3. Step 3: Cross multiply
   2,256x = 3,113.58 × 1,324.50
4. Step 4: Simplify right side
   2,256x = 4,123,936.71
5. Step 5: Solve for x
   x = 4,123,936.71/2,256
6. Step 6: Final answer
   x = 1,827.99