Finding the Fourth Proportional to 2,566.38, 3,540.95 and 1,571.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.38 : 3,540.95 = 1,571.30 : x
2. Step 2: Convert to fraction form
   2,566.38/3,540.95 = 1,571.30/x
3. Step 3: Cross multiply
   2,566.38x = 3,540.95 × 1,571.30
4. Step 4: Simplify right side
   2,566.38x = 5,563,894.74
5. Step 5: Solve for x
   x = 5,563,894.74/2,566.38
6. Step 6: Final answer
   x = 2,167.99