Finding the Fourth Proportional to 1,018.82, 1,405.94 and 599.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.82 : 1,405.94 = 599.16 : x
2. Step 2: Convert to fraction form
   1,018.82/1,405.94 = 599.16/x
3. Step 3: Cross multiply
   1,018.82x = 1,405.94 × 599.16
4. Step 4: Simplify right side
   1,018.82x = 842,383.01
5. Step 5: Solve for x
   x = 842,383.01/1,018.82
6. Step 6: Final answer
   x = 826.82