Finding the Fourth Proportional to 2,469.54, 3,704.77 and 826.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.54 : 3,704.77 = 826.10 : x
2. Step 2: Convert to fraction form
   2,469.54/3,704.77 = 826.10/x
3. Step 3: Cross multiply
   2,469.54x = 3,704.77 × 826.10
4. Step 4: Simplify right side
   2,469.54x = 3,060,491.97
5. Step 5: Solve for x
   x = 3,060,491.97/2,469.54
6. Step 6: Final answer
   x = 1,239.30