Finding the Fourth Proportional to 2,061.64, 3,092.60 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.64 : 3,092.60 = 829.05 : x
2. Step 2: Convert to fraction form
   2,061.64/3,092.60 = 829.05/x
3. Step 3: Cross multiply
   2,061.64x = 3,092.60 × 829.05
4. Step 4: Simplify right side
   2,061.64x = 2,563,920.03
5. Step 5: Solve for x
   x = 2,563,920.03/2,061.64
6. Step 6: Final answer
   x = 1,243.63