Finding the Fourth Proportional to 2,469.82, 3,704.64 and 826.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.82 : 3,704.64 = 826.40 : x
2. Step 2: Convert to fraction form
   2,469.82/3,704.64 = 826.40/x
3. Step 3: Cross multiply
   2,469.82x = 3,704.64 × 826.40
4. Step 4: Simplify right side
   2,469.82x = 3,061,514.50
5. Step 5: Solve for x
   x = 3,061,514.50/2,469.82
6. Step 6: Final answer
   x = 1,239.57