Finding the Fourth Proportional to 2,560.72, 3,532.98 and 1,565.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.72 : 3,532.98 = 1,565.76 : x
2. Step 2: Convert to fraction form
   2,560.72/3,532.98 = 1,565.76/x
3. Step 3: Cross multiply
   2,560.72x = 3,532.98 × 1,565.76
4. Step 4: Simplify right side
   2,560.72x = 5,531,798.76
5. Step 5: Solve for x
   x = 5,531,798.76/2,560.72
6. Step 6: Final answer
   x = 2,160.25