Finding the Fourth Proportional to 2,561.36, 3,842.06 and 829.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.36 : 3,842.06 = 829.98 : x
2. Step 2: Convert to fraction form
   2,561.36/3,842.06 = 829.98/x
3. Step 3: Cross multiply
   2,561.36x = 3,842.06 × 829.98
4. Step 4: Simplify right side
   2,561.36x = 3,188,828.81
5. Step 5: Solve for x
   x = 3,188,828.81/2,561.36
6. Step 6: Final answer
   x = 1,244.98