Finding the Fourth Proportional to 2,582.55, 3,874.77 and 2,495.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.55 : 3,874.77 = 2,495.07 : x
2. Step 2: Convert to fraction form
   2,582.55/3,874.77 = 2,495.07/x
3. Step 3: Cross multiply
   2,582.55x = 3,874.77 × 2,495.07
4. Step 4: Simplify right side
   2,582.55x = 9,667,822.38
5. Step 5: Solve for x
   x = 9,667,822.38/2,582.55
6. Step 6: Final answer
   x = 3,743.52