Finding the Fourth Proportional to 2,565.38, 3,540.21 and 1,570.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.38 : 3,540.21 = 1,570.52 : x
2. Step 2: Convert to fraction form
   2,565.38/3,540.21 = 1,570.52/x
3. Step 3: Cross multiply
   2,565.38x = 3,540.21 × 1,570.52
4. Step 4: Simplify right side
   2,565.38x = 5,559,970.61
5. Step 5: Solve for x
   x = 5,559,970.61/2,565.38
6. Step 6: Final answer
   x = 2,167.31