Finding the Fourth Proportional to 1,463.78, 2,019.93 and 834.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.78 : 2,019.93 = 834.41 : x
2. Step 2: Convert to fraction form
   1,463.78/2,019.93 = 834.41/x
3. Step 3: Cross multiply
   1,463.78x = 2,019.93 × 834.41
4. Step 4: Simplify right side
   1,463.78x = 1,685,449.79
5. Step 5: Solve for x
   x = 1,685,449.79/1,463.78
6. Step 6: Final answer
   x = 1,151.44