Metallic character increases:
- Down a group
- From right to left in a period
Order of metallic character:
- \( \text{B} \) (Group 13, Period 2) — metalloid
- \( \text{Al} \) (Group 13, Period 3)
- \( \text{Mg} \) (Group 2, Period 3)
- \( \text{K} \) (Group 1, Period 4)
Thus, correct increasing order is:
\[
\text{B}<\text{Al}<\text{Mg}<\text{K}
\]