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The order of increasing election donating power is
+R> +hyperconjugation> +Inductive
Methoxy has +mesmeric effect, which highly increases the election density at the carbon connected to the NH2 gp .So the lone pair over N is maximum available for coordination to H+.So this compound is maximum basic.The second position for p - toluidine.The methyl group donates election density by hyperconjugation and+I effects.Aniline comes third.Nitro gp in meta position shows mainly--I effect.In para position,Nitro group shows _R effect with extended conjugation involving nitro group.So para nitro aniline is least basic
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