Finding the Fourth Proportional to 1,424.25, 1,965.38 and 834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.25 : 1,965.38 = 834.75 : x
2. Step 2: Convert to fraction form
   1,424.25/1,965.38 = 834.75/x
3. Step 3: Cross multiply
   1,424.25x = 1,965.38 × 834.75
4. Step 4: Simplify right side
   1,424.25x = 1,640,596.78
5. Step 5: Solve for x
   x = 1,640,596.78/1,424.25
6. Step 6: Final answer
   x = 1,151.90