Finding the Fourth Proportional to 1,424.31, 1,965.24 and 834.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.31 : 1,965.24 = 834.69 : x
2. Step 2: Convert to fraction form
   1,424.31/1,965.24 = 834.69/x
3. Step 3: Cross multiply
   1,424.31x = 1,965.24 × 834.69
4. Step 4: Simplify right side
   1,424.31x = 1,640,366.18
5. Step 5: Solve for x
   x = 1,640,366.18/1,424.31
6. Step 6: Final answer
   x = 1,151.69