Finding the Fourth Proportional to 1,648.55, 2,472.83 and 826.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.55 : 2,472.83 = 826.00 : x
2. Step 2: Convert to fraction form
   1,648.55/2,472.83 = 826.00/x
3. Step 3: Cross multiply
   1,648.55x = 2,472.83 × 826.00
4. Step 4: Simplify right side
   1,648.55x = 2,042,550.37
5. Step 5: Solve for x
   x = 2,042,550.37/1,648.55
6. Step 6: Final answer
   x = 1,239.00