Ok, so since your container has a fixed width and height, I suggest an extra called phpThumbOf. It crops your images automatically, and it will reduce the image size so your pages load a little faster too (you're not loading the extra part of the image that you can't see; just the visible part.
To do this, simply install phpThumbOf using the Package Manager in MODX, and then amend your image source include phpThumbof, so that this:
<img class="[[+galitem.imgCls]]" src="[[+galitem.image]]" alt="[[+galitem.name]]"/>
becomes this:
<img class="[[+galitem.imgCls]]" src="[[+galitem.image:phpthumbof=`w=940&h=466&zc=1`]]" alt="[[+galitem.name]]"/>
This should crop the image to fit perfectly in your slider and the "zc" part enables zoom crop, which will make sure there's never any extra space present if the image is slightly too small.
/// UPDATE ///
It appears that Ben beat me to the punch