Finding the Fourth Proportional to 1,323.76, 1,826 and 826.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.76 : 1,826 = 826.02 : x
2. Step 2: Convert to fraction form
   1,323.76/1,826 = 826.02/x
3. Step 3: Cross multiply
   1,323.76x = 1,826 × 826.02
4. Step 4: Simplify right side
   1,323.76x = 1,508,312.52
5. Step 5: Solve for x
   x = 1,508,312.52/1,323.76
6. Step 6: Final answer
   x = 1,139.42