The correct order of conductivity of ions in water is:

$\overset{{Li}^{+}{Na}^{+}{K}^{+}{Rb}^{+}{Cs}^{+}}{\to}$Hydration energy$↑$

As the size of gaseous ion decreases, it gets more hydrated in water and hence, the size of aqueous ion increases. When this bulky ion move in solution, it experience greater resistance and hence lower conductivity.

Size of gaseous ion: ${Cs}^{+} > {Rb}^{+} > {K}^{+} > {Na}^{+}$

Size of aqueous ion: ${Cs}^{+} < {Rb}^{+} < {K}^{+} < {Na}^{+}$

Conductivity: ${Cs}^{+} > {Rb}^{+} > {K}^{+} > {Na}^{+}$