Finding the Fourth Proportional to 2,561.20, 3,841.72 and 829.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.20 : 3,841.72 = 829.76 : x
2. Step 2: Convert to fraction form
   2,561.20/3,841.72 = 829.76/x
3. Step 3: Cross multiply
   2,561.20x = 3,841.72 × 829.76
4. Step 4: Simplify right side
   2,561.20x = 3,187,705.59
5. Step 5: Solve for x
   x = 3,187,705.59/2,561.20
6. Step 6: Final answer
   x = 1,244.61