Finding the Fourth Proportional to 1,463.61, 2,019.83 and 834.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.61 : 2,019.83 = 834.23 : x
2. Step 2: Convert to fraction form
   1,463.61/2,019.83 = 834.23/x
3. Step 3: Cross multiply
   1,463.61x = 2,019.83 × 834.23
4. Step 4: Simplify right side
   1,463.61x = 1,685,010.70
5. Step 5: Solve for x
   x = 1,685,010.70/1,463.61
6. Step 6: Final answer
   x = 1,151.27