Finding the Fourth Proportional to 1,413.80, 1,951.23 and 824.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.80 : 1,951.23 = 824.23 : x
2. Step 2: Convert to fraction form
   1,413.80/1,951.23 = 824.23/x
3. Step 3: Cross multiply
   1,413.80x = 1,951.23 × 824.23
4. Step 4: Simplify right side
   1,413.80x = 1,608,262.30
5. Step 5: Solve for x
   x = 1,608,262.30/1,413.80
6. Step 6: Final answer
   x = 1,137.55