Finding the Fourth Proportional to 2,560.41, 3,532.71 and 1,565.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.41 : 3,532.71 = 1,565.33 : x
2. Step 2: Convert to fraction form
   2,560.41/3,532.71 = 1,565.33/x
3. Step 3: Cross multiply
   2,560.41x = 3,532.71 × 1,565.33
4. Step 4: Simplify right side
   2,560.41x = 5,529,845.15
5. Step 5: Solve for x
   x = 5,529,845.15/2,560.41
6. Step 6: Final answer
   x = 2,159.75