Finding the Fourth Proportional to 2,582.57, 3,849.02 and 2,578.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.57 : 3,849.02 = 2,578.47 : x
2. Step 2: Convert to fraction form
   2,582.57/3,849.02 = 2,578.47/x
3. Step 3: Cross multiply
   2,582.57x = 3,849.02 × 2,578.47
4. Step 4: Simplify right side
   2,582.57x = 9,924,582.60
5. Step 5: Solve for x
   x = 9,924,582.60/2,582.57
6. Step 6: Final answer
   x = 3,842.91