Let the number of students who take the bus home be x.
Determine the value of x as ratio of number of students who take the bus home to total number of student is equal.
[tex]\begin{gathered} \frac{86}{100}=\frac{x}{1200} \\ x=\frac{86\cdot1200}{100} \\ =1032 \end{gathered}[/tex]Answer: 1032 students.