Finding the Fourth Proportional to 1,413.69, 1,951.28 and 824.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.69 : 1,951.28 = 824.41 : x
2. Step 2: Convert to fraction form
   1,413.69/1,951.28 = 824.41/x
3. Step 3: Cross multiply
   1,413.69x = 1,951.28 × 824.41
4. Step 4: Simplify right side
   1,413.69x = 1,608,654.74
5. Step 5: Solve for x
   x = 1,608,654.74/1,413.69
6. Step 6: Final answer
   x = 1,137.91