Finding the Fourth Proportional to 2,565.44, 3,540.56 and 1,571.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.44 : 3,540.56 = 1,571.37 : x
2. Step 2: Convert to fraction form
   2,565.44/3,540.56 = 1,571.37/x
3. Step 3: Cross multiply
   2,565.44x = 3,540.56 × 1,571.37
4. Step 4: Simplify right side
   2,565.44x = 5,563,521.91
5. Step 5: Solve for x
   x = 5,563,521.91/2,565.44
6. Step 6: Final answer
   x = 2,168.65