Finding the Fourth Proportional to 2,061.78, 3,092.82 and 829.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.78 : 3,092.82 = 829.20 : x
2. Step 2: Convert to fraction form
   2,061.78/3,092.82 = 829.20/x
3. Step 3: Cross multiply
   2,061.78x = 3,092.82 × 829.20
4. Step 4: Simplify right side
   2,061.78x = 2,564,567.90
5. Step 5: Solve for x
   x = 2,564,567.90/2,061.78
6. Step 6: Final answer
   x = 1,243.86