Finding the Fourth Proportional to 1,413.84, 1,951.12 and 824.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.84 : 1,951.12 = 824.44 : x
2. Step 2: Convert to fraction form
   1,413.84/1,951.12 = 824.44/x
3. Step 3: Cross multiply
   1,413.84x = 1,951.12 × 824.44
4. Step 4: Simplify right side
   1,413.84x = 1,608,581.37
5. Step 5: Solve for x
   x = 1,608,581.37/1,413.84
6. Step 6: Final answer
   x = 1,137.74