Finding the Fourth Proportional to 2,564.45, 3,540.83 and 1,571.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.45 : 3,540.83 = 1,571.08 : x
2. Step 2: Convert to fraction form
   2,564.45/3,540.83 = 1,571.08/x
3. Step 3: Cross multiply
   2,564.45x = 3,540.83 × 1,571.08
4. Step 4: Simplify right side
   2,564.45x = 5,562,927.20
5. Step 5: Solve for x
   x = 5,562,927.20/2,564.45
6. Step 6: Final answer
   x = 2,169.25