Finding the Fourth Proportional to 1,424.17, 1,965.83 and 834.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.17 : 1,965.83 = 834.49 : x
2. Step 2: Convert to fraction form
   1,424.17/1,965.83 = 834.49/x
3. Step 3: Cross multiply
   1,424.17x = 1,965.83 × 834.49
4. Step 4: Simplify right side
   1,424.17x = 1,640,465.48
5. Step 5: Solve for x
   x = 1,640,465.48/1,424.17
6. Step 6: Final answer
   x = 1,151.87