Finding the Fourth Proportional to 1,463.94, 2,020.02 and 834.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.94 : 2,020.02 = 834.27 : x
2. Step 2: Convert to fraction form
   1,463.94/2,020.02 = 834.27/x
3. Step 3: Cross multiply
   1,463.94x = 2,020.02 × 834.27
4. Step 4: Simplify right side
   1,463.94x = 1,685,242.09
5. Step 5: Solve for x
   x = 1,685,242.09/1,463.94
6. Step 6: Final answer
   x = 1,151.17