Finding the Fourth Proportional to 1,019.32, 1,406.94 and 599.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.32 : 1,406.94 = 599.81 : x
2. Step 2: Convert to fraction form
   1,019.32/1,406.94 = 599.81/x
3. Step 3: Cross multiply
   1,019.32x = 1,406.94 × 599.81
4. Step 4: Simplify right side
   1,019.32x = 843,887.40
5. Step 5: Solve for x
   x = 843,887.40/1,019.32
6. Step 6: Final answer
   x = 827.89