Finding the Fourth Proportional to 2,561.09, 3,842.33 and 829.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.09 : 3,842.33 = 829.71 : x
2. Step 2: Convert to fraction form
   2,561.09/3,842.33 = 829.71/x
3. Step 3: Cross multiply
   2,561.09x = 3,842.33 × 829.71
4. Step 4: Simplify right side
   2,561.09x = 3,188,015.48
5. Step 5: Solve for x
   x = 3,188,015.48/2,561.09
6. Step 6: Final answer
   x = 1,244.79