Finding the Fourth Proportional to 1,463.67, 2,019.33 and 834.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.67 : 2,019.33 = 834.17 : x
2. Step 2: Convert to fraction form
   1,463.67/2,019.33 = 834.17/x
3. Step 3: Cross multiply
   1,463.67x = 2,019.33 × 834.17
4. Step 4: Simplify right side
   1,463.67x = 1,684,454.41
5. Step 5: Solve for x
   x = 1,684,454.41/1,463.67
6. Step 6: Final answer
   x = 1,150.84