Finding the Fourth Proportional to 2,582.24, 3,896.44 and 2,582.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.24 : 3,896.44 = 2,582.24 : x
2. Step 2: Convert to fraction form
   2,582.24/3,896.44 = 2,582.24/x
3. Step 3: Cross multiply
   2,582.24x = 3,896.44 × 2,582.24
4. Step 4: Simplify right side
   2,582.24x = 10,061,561.04
5. Step 5: Solve for x
   x = 10,061,561.04/2,582.24
6. Step 6: Final answer
   x = 3,896.44