Finding the Fourth Proportional to 1,323.54, 1,826.42 and 734.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.54 : 1,826.42 = 734.10 : x
2. Step 2: Convert to fraction form
   1,323.54/1,826.42 = 734.10/x
3. Step 3: Cross multiply
   1,323.54x = 1,826.42 × 734.10
4. Step 4: Simplify right side
   1,323.54x = 1,340,774.92
5. Step 5: Solve for x
   x = 1,340,774.92/1,323.54
6. Step 6: Final answer
   x = 1,013.02