Finding the Fourth Proportional to 2,564.20, 3,540.48 and 1,570.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.20 : 3,540.48 = 1,570.83 : x
2. Step 2: Convert to fraction form
   2,564.20/3,540.48 = 1,570.83/x
3. Step 3: Cross multiply
   2,564.20x = 3,540.48 × 1,570.83
4. Step 4: Simplify right side
   2,564.20x = 5,561,492.20
5. Step 5: Solve for x
   x = 5,561,492.20/2,564.20
6. Step 6: Final answer
   x = 2,168.90