Finding the Fourth Proportional to 1,323.57, 1,826.55 and 826.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.57 : 1,826.55 = 826.12 : x
2. Step 2: Convert to fraction form
   1,323.57/1,826.55 = 826.12/x
3. Step 3: Cross multiply
   1,323.57x = 1,826.55 × 826.12
4. Step 4: Simplify right side
   1,323.57x = 1,508,949.49
5. Step 5: Solve for x
   x = 1,508,949.49/1,323.57
6. Step 6: Final answer
   x = 1,140.06