Finding the Fourth Proportional to 1,413.80, 1,951.14 and 816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.80 : 1,951.14 = 816.50 : x
2. Step 2: Convert to fraction form
   1,413.80/1,951.14 = 816.50/x
3. Step 3: Cross multiply
   1,413.80x = 1,951.14 × 816.50
4. Step 4: Simplify right side
   1,413.80x = 1,593,105.81
5. Step 5: Solve for x
   x = 1,593,105.81/1,413.80
6. Step 6: Final answer
   x = 1,126.83