Finding the Fourth Proportional to 2,581.69, 3,872.77 and 826.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.69 : 3,872.77 = 826.74 : x
2. Step 2: Convert to fraction form
   2,581.69/3,872.77 = 826.74/x
3. Step 3: Cross multiply
   2,581.69x = 3,872.77 × 826.74
4. Step 4: Simplify right side
   2,581.69x = 3,201,760.05
5. Step 5: Solve for x
   x = 3,201,760.05/2,581.69
6. Step 6: Final answer
   x = 1,240.18