Finding the Fourth Proportional to 1,424.21, 1,965.33 and 834.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.21 : 1,965.33 = 834.53 : x
2. Step 2: Convert to fraction form
   1,424.21/1,965.33 = 834.53/x
3. Step 3: Cross multiply
   1,424.21x = 1,965.33 × 834.53
4. Step 4: Simplify right side
   1,424.21x = 1,640,117.02
5. Step 5: Solve for x
   x = 1,640,117.02/1,424.21
6. Step 6: Final answer
   x = 1,151.60