Finding the Fourth Proportional to 1,463.59, 2,019.64 and 834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.59 : 2,019.64 = 834.09 : x
2. Step 2: Convert to fraction form
   1,463.59/2,019.64 = 834.09/x
3. Step 3: Cross multiply
   1,463.59x = 2,019.64 × 834.09
4. Step 4: Simplify right side
   1,463.59x = 1,684,559.44
5. Step 5: Solve for x
   x = 1,684,559.44/1,463.59
6. Step 6: Final answer
   x = 1,150.98