Why can substances with endothermic heat of solution dissolve?

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Why is a substance with an endothermic heat of solution able to dissolve?

Is it due to the activation energies being reached (forming activated complexes)? If so then I'm guessing this has to do with temperature.
 
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Solution gets cold, but the entropy grows. After all it is ΔG that is a driving force, and ΔG = ΔH - TΔS.
 

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