Finding the Fourth Proportional to 2,582.72, 3,874.64 and 851.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.72 : 3,874.64 = 851.28 : x
2. Step 2: Convert to fraction form
   2,582.72/3,874.64 = 851.28/x
3. Step 3: Cross multiply
   2,582.72x = 3,874.64 × 851.28
4. Step 4: Simplify right side
   2,582.72x = 3,298,403.54
5. Step 5: Solve for x
   x = 3,298,403.54/2,582.72
6. Step 6: Final answer
   x = 1,277.10