Thank you for your question and I understand your concern.
The Kenmore washer model 110.26002* is rated at 3.6 cu. ft. I do not know of any top loading washer that could handle a King size comforter safely. A front loading washer would be a more favorable washer to use for King size comforters. Even a front loading washer could become unbalanced due to a King size comforter and cause the washer to shake and vibrate violently.
We recommend using a commercial grade front loading laundry mat washer to wash King size comforters to prevent any damage to the comforter. Washing a King size comforter in a top load washer could damage the comforter and/or washer.
I hope this is helpful. If I may be of further assistance as more details become available, please reply to this post.