Finding the Fourth Proportional to 2,561.56, 3,841.06 and 829.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.56 : 3,841.06 = 829.96 : x
2. Step 2: Convert to fraction form
   2,561.56/3,841.06 = 829.96/x
3. Step 3: Cross multiply
   2,561.56x = 3,841.06 × 829.96
4. Step 4: Simplify right side
   2,561.56x = 3,187,926.16
5. Step 5: Solve for x
   x = 3,187,926.16/2,561.56
6. Step 6: Final answer
   x = 1,244.53