Finding the Fourth Proportional to 1,413.86, 1,951.17 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.86 : 1,951.17 = 824.78 : x
2. Step 2: Convert to fraction form
   1,413.86/1,951.17 = 824.78/x
3. Step 3: Cross multiply
   1,413.86x = 1,951.17 × 824.78
4. Step 4: Simplify right side
   1,413.86x = 1,609,285.99
5. Step 5: Solve for x
   x = 1,609,285.99/1,413.86
6. Step 6: Final answer
   x = 1,138.22