Finding the Fourth Proportional to 1,424.33, 1,965.27 and 834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.33 : 1,965.27 = 834.75 : x
2. Step 2: Convert to fraction form
   1,424.33/1,965.27 = 834.75/x
3. Step 3: Cross multiply
   1,424.33x = 1,965.27 × 834.75
4. Step 4: Simplify right side
   1,424.33x = 1,640,509.13
5. Step 5: Solve for x
   x = 1,640,509.13/1,424.33
6. Step 6: Final answer
   x = 1,151.78