Finding the Fourth Proportional to 2,565.50, 3,538.62 and 1,571.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 3,538.62 = 1,571.27 : x
2. Step 2: Convert to fraction form
   2,565.50/3,538.62 = 1,571.27/x
3. Step 3: Cross multiply
   2,565.50x = 3,538.62 × 1,571.27
4. Step 4: Simplify right side
   2,565.50x = 5,560,109.75
5. Step 5: Solve for x
   x = 5,560,109.75/2,565.50
6. Step 6: Final answer
   x = 2,167.27