Answer
$9,466$
Work Step by Step
$D=500
\\C=100
\\L=50
\\X=10
\\V=5
\\I=1$
Note that:
(1) When a smaller number is written before a bigger number, the smaller number is subtracted to the bigger number.
(2) A bar on top means the value will be multiplied by $1000$.
Thus,
$\overline{IX}CDLXVI
\\= (10-1)(1000) + (500-100) + 50+10+5+1
\\=9(1000)+400+66
\\=9000+466
\\=9466$