Finding the Fourth Proportional to 1,413.84, 1,951.20 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.84 : 1,951.20 = 824.52 : x
2. Step 2: Convert to fraction form
   1,413.84/1,951.20 = 824.52/x
3. Step 3: Cross multiply
   1,413.84x = 1,951.20 × 824.52
4. Step 4: Simplify right side
   1,413.84x = 1,608,803.42
5. Step 5: Solve for x
   x = 1,608,803.42/1,413.84
6. Step 6: Final answer
   x = 1,137.90