Finding the Fourth Proportional to 2,566.77, 3,540.98 and 1,571.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.77 : 3,540.98 = 1,571.65 : x
2. Step 2: Convert to fraction form
   2,566.77/3,540.98 = 1,571.65/x
3. Step 3: Cross multiply
   2,566.77x = 3,540.98 × 1,571.65
4. Step 4: Simplify right side
   2,566.77x = 5,565,181.22
5. Step 5: Solve for x
   x = 5,565,181.22/2,566.77
6. Step 6: Final answer
   x = 2,168.17