Finding the Fourth Proportional to 1,413.99, 1,951.11 and 824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.99 : 1,951.11 = 824.58 : x
2. Step 2: Convert to fraction form
   1,413.99/1,951.11 = 824.58/x
3. Step 3: Cross multiply
   1,413.99x = 1,951.11 × 824.58
4. Step 4: Simplify right side
   1,413.99x = 1,608,846.28
5. Step 5: Solve for x
   x = 1,608,846.28/1,413.99
6. Step 6: Final answer
   x = 1,137.81