Finding the Fourth Proportional to 1,019.05, 1,406.11 and 599.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.05 : 1,406.11 = 599.32 : x
2. Step 2: Convert to fraction form
   1,019.05/1,406.11 = 599.32/x
3. Step 3: Cross multiply
   1,019.05x = 1,406.11 × 599.32
4. Step 4: Simplify right side
   1,019.05x = 842,709.85
5. Step 5: Solve for x
   x = 842,709.85/1,019.05
6. Step 6: Final answer
   x = 826.96