Finding the Fourth Proportional to 1,323.69, 1,826.50 and 734.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.69 : 1,826.50 = 734.23 : x
2. Step 2: Convert to fraction form
   1,323.69/1,826.50 = 734.23/x
3. Step 3: Cross multiply
   1,323.69x = 1,826.50 × 734.23
4. Step 4: Simplify right side
   1,323.69x = 1,341,072.92
5. Step 5: Solve for x
   x = 1,341,072.92/1,323.69
6. Step 6: Final answer
   x = 1,013.13