Finding the Fourth Proportional to 2,057.78, 3,085.92 and 825.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.78 : 3,085.92 = 825.56 : x
2. Step 2: Convert to fraction form
   2,057.78/3,085.92 = 825.56/x
3. Step 3: Cross multiply
   2,057.78x = 3,085.92 × 825.56
4. Step 4: Simplify right side
   2,057.78x = 2,547,612.12
5. Step 5: Solve for x
   x = 2,547,612.12/2,057.78
6. Step 6: Final answer
   x = 1,238.04