Finding the Fourth Proportional to 1,019.04, 1,406.12 and 599.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.04 : 1,406.12 = 599.33 : x
2. Step 2: Convert to fraction form
   1,019.04/1,406.12 = 599.33/x
3. Step 3: Cross multiply
   1,019.04x = 1,406.12 × 599.33
4. Step 4: Simplify right side
   1,019.04x = 842,719.87
5. Step 5: Solve for x
   x = 842,719.87/1,019.04
6. Step 6: Final answer
   x = 826.97