Finding the Fourth Proportional to 1,412.50, 1,949.25 and 791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.50 : 1,949.25 = 791.50 : x
2. Step 2: Convert to fraction form
   1,412.50/1,949.25 = 791.50/x
3. Step 3: Cross multiply
   1,412.50x = 1,949.25 × 791.50
4. Step 4: Simplify right side
   1,412.50x = 1,542,831.38
5. Step 5: Solve for x
   x = 1,542,831.38/1,412.50
6. Step 6: Final answer
   x = 1,092.27