Finding the Fourth Proportional to 1,413.50, 1,946.52 and 1,323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.50 : 1,946.52 = 1,323.25 : x
2. Step 2: Convert to fraction form
   1,413.50/1,946.52 = 1,323.25/x
3. Step 3: Cross multiply
   1,413.50x = 1,946.52 × 1,323.25
4. Step 4: Simplify right side
   1,413.50x = 2,575,734.18
5. Step 5: Solve for x
   x = 2,575,734.18/1,413.50
6. Step 6: Final answer
   x = 1,822.23