Finding the Fourth Proportional to 1,323.40, 1,826.31 and 826.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.40 : 1,826.31 = 826.24 : x
2. Step 2: Convert to fraction form
   1,323.40/1,826.31 = 826.24/x
3. Step 3: Cross multiply
   1,323.40x = 1,826.31 × 826.24
4. Step 4: Simplify right side
   1,323.40x = 1,508,970.37
5. Step 5: Solve for x
   x = 1,508,970.37/1,323.40
6. Step 6: Final answer
   x = 1,140.22