Finding the Fourth Proportional to 2,560.28, 3,532.38 and 1,564.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.28 : 3,532.38 = 1,564.49 : x
2. Step 2: Convert to fraction form
   2,560.28/3,532.38 = 1,564.49/x
3. Step 3: Cross multiply
   2,560.28x = 3,532.38 × 1,564.49
4. Step 4: Simplify right side
   2,560.28x = 5,526,355.52
5. Step 5: Solve for x
   x = 5,526,355.52/2,560.28
6. Step 6: Final answer
   x = 2,158.50