Finding the Fourth Proportional to 1,413.58, 1,949.70 and 824.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.58 : 1,949.70 = 824.08 : x
2. Step 2: Convert to fraction form
   1,413.58/1,949.70 = 824.08/x
3. Step 3: Cross multiply
   1,413.58x = 1,949.70 × 824.08
4. Step 4: Simplify right side
   1,413.58x = 1,606,708.78
5. Step 5: Solve for x
   x = 1,606,708.78/1,413.58
6. Step 6: Final answer
   x = 1,136.62