Finding the Fourth Proportional to 1,424.18, 1,965.53 and 834.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.18 : 1,965.53 = 834.71 : x
2. Step 2: Convert to fraction form
   1,424.18/1,965.53 = 834.71/x
3. Step 3: Cross multiply
   1,424.18x = 1,965.53 × 834.71
4. Step 4: Simplify right side
   1,424.18x = 1,640,639.81
5. Step 5: Solve for x
   x = 1,640,639.81/1,424.18
6. Step 6: Final answer
   x = 1,151.99