Finding the Fourth Proportional to 2,469.78, 3,704.13 and 826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.78 : 3,704.13 = 826.56 : x
2. Step 2: Convert to fraction form
   2,469.78/3,704.13 = 826.56/x
3. Step 3: Cross multiply
   2,469.78x = 3,704.13 × 826.56
4. Step 4: Simplify right side
   2,469.78x = 3,061,685.69
5. Step 5: Solve for x
   x = 3,061,685.69/2,469.78
6. Step 6: Final answer
   x = 1,239.66