Which preposition to use with outreach

of Occurrences 4%

Let the lights and shadows of the thought of Carlyle and Emerson play upon these words, they are at once removed from mechanical definition, and we dimly perceive that each word is larger than the outreach of the thought of man.

through Occurrences 1%

His strong, daring nature carried her with it beyond those narrow, daily bounds where her soul was weary of treading; and just as his voyages had given to the trite prose of her ménage a poetry of strange, foreign perfumes, of quaint objects of interest, speaking of many a far-off shore, so his mind and life were a constant channel of outreach through which her soul held converse with the active and stirring world.

to Occurrences 1%

One could read the loving outreach to all humanity in her tones.

Which preposition to use with  outreach