Step 1: Recall the trend of metallic character.
Metallic character increases down a group because atomic size increases and ionization energy decreases.
Metallic character decreases from left to right across a period because effective nuclear charge increases.
Step 2: Compare potassium and sodium.
Potassium (\(K\)) lies below sodium (\(Na\)) in Group 1.
Since metallic character increases down the group,
\[
K\gt Na
\]
Step 3: Compare sodium and aluminium.
Sodium (\(Na\)) and aluminium (\(Al\)) are in the same period.
Metallic character decreases from left to right across the period, therefore
\[
Na\gt Al
\]
Step 4: Compare aluminium and beryllium.
Although both are metals, aluminium shows more metallic nature than beryllium because beryllium has small size and relatively higher ionization energy.
Thus,
\[
Al\gt Be
\]
Step 5: Write the overall order.
Combining all comparisons,
\[
K\gt Na\gt Al\gt Be
\]
Step 6: Final conclusion.
Hence, the correct order of metallic character is
\[
\boxed{K\gt Na\gt Al\gt Be}
\]