Finding the Fourth Proportional to 1,413.99, 1,951.27 and 824.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.99 : 1,951.27 = 824.48 : x
2. Step 2: Convert to fraction form
   1,413.99/1,951.27 = 824.48/x
3. Step 3: Cross multiply
   1,413.99x = 1,951.27 × 824.48
4. Step 4: Simplify right side
   1,413.99x = 1,608,789.57
5. Step 5: Solve for x
   x = 1,608,789.57/1,413.99
6. Step 6: Final answer
   x = 1,137.77