Finding the Fourth Proportional to 1,323.50, 1,826.43 and 734.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.50 : 1,826.43 = 734.16 : x
2. Step 2: Convert to fraction form
   1,323.50/1,826.43 = 734.16/x
3. Step 3: Cross multiply
   1,323.50x = 1,826.43 × 734.16
4. Step 4: Simplify right side
   1,323.50x = 1,340,887.28
5. Step 5: Solve for x
   x = 1,340,887.28/1,323.50
6. Step 6: Final answer
   x = 1,013.14