Finding the Fourth Proportional to 2,560, 3,532.96 and 1,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560 : 3,532.96 = 1,456 : x
2. Step 2: Convert to fraction form
   2,560/3,532.96 = 1,456/x
3. Step 3: Cross multiply
   2,560x = 3,532.96 × 1,456
4. Step 4: Simplify right side
   2,560x = 5,143,989.76
5. Step 5: Solve for x
   x = 5,143,989.76/2,560
6. Step 6: Final answer
   x = 2,009.37