Finding the Fourth Proportional to 2,582.88, 3,564.73 and 1,464.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.88 : 3,564.73 = 1,464.26 : x
2. Step 2: Convert to fraction form
   2,582.88/3,564.73 = 1,464.26/x
3. Step 3: Cross multiply
   2,582.88x = 3,564.73 × 1,464.26
4. Step 4: Simplify right side
   2,582.88x = 5,219,691.55
5. Step 5: Solve for x
   x = 5,219,691.55/2,582.88
6. Step 6: Final answer
   x = 2,020.88