Finding the Fourth Proportional to 2,581.47, 3,872.14 and 826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.47 : 3,872.14 = 826.50 : x
2. Step 2: Convert to fraction form
   2,581.47/3,872.14 = 826.50/x
3. Step 3: Cross multiply
   2,581.47x = 3,872.14 × 826.50
4. Step 4: Simplify right side
   2,581.47x = 3,200,336.16
5. Step 5: Solve for x
   x = 3,200,336.16/2,581.47
6. Step 6: Final answer
   x = 1,239.73