Finding the Fourth Proportional to 1,019.01, 1,406.02 and 599.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.01 : 1,406.02 = 599.43 : x
2. Step 2: Convert to fraction form
   1,019.01/1,406.02 = 599.43/x
3. Step 3: Cross multiply
   1,019.01x = 1,406.02 × 599.43
4. Step 4: Simplify right side
   1,019.01x = 842,810.57
5. Step 5: Solve for x
   x = 842,810.57/1,019.01
6. Step 6: Final answer
   x = 827.09