Finding the Fourth Proportional to 1,463.52, 2,019.65 and 834.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.52 : 2,019.65 = 834.07 : x
2. Step 2: Convert to fraction form
   1,463.52/2,019.65 = 834.07/x
3. Step 3: Cross multiply
   1,463.52x = 2,019.65 × 834.07
4. Step 4: Simplify right side
   1,463.52x = 1,684,525.31
5. Step 5: Solve for x
   x = 1,684,525.31/1,463.52
6. Step 6: Final answer
   x = 1,151.01