Finding the Fourth Proportional to 1,019.46, 1,406.78 and 599.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.46 : 1,406.78 = 599.83 : x
2. Step 2: Convert to fraction form
   1,019.46/1,406.78 = 599.83/x
3. Step 3: Cross multiply
   1,019.46x = 1,406.78 × 599.83
4. Step 4: Simplify right side
   1,019.46x = 843,825.85
5. Step 5: Solve for x
   x = 843,825.85/1,019.46
6. Step 6: Final answer
   x = 827.72