Finding the Fourth Proportional to 1,019.55, 1,406.81 and 599.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.55 : 1,406.81 = 599.82 : x
2. Step 2: Convert to fraction form
   1,019.55/1,406.81 = 599.82/x
3. Step 3: Cross multiply
   1,019.55x = 1,406.81 × 599.82
4. Step 4: Simplify right side
   1,019.55x = 843,829.78
5. Step 5: Solve for x
   x = 843,829.78/1,019.55
6. Step 6: Final answer
   x = 827.65