Finding the Fourth Proportional to 2,057.19, 3,086.82 and 825.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.19 : 3,086.82 = 825.48 : x
2. Step 2: Convert to fraction form
   2,057.19/3,086.82 = 825.48/x
3. Step 3: Cross multiply
   2,057.19x = 3,086.82 × 825.48
4. Step 4: Simplify right side
   2,057.19x = 2,548,108.17
5. Step 5: Solve for x
   x = 2,548,108.17/2,057.19
6. Step 6: Final answer
   x = 1,238.64