You don't add rice cereal to a bottle. It overfeeds a baby, can be a choking hazard, and your baby can aspirate the chunky food into her lungs while trying to suck and swallow it.
At 4mos old, its still reasonable for her to be waking in the middle of the night for a feeding. She's a baby, not an adult, and her body needs nourishment more often than an adults body. If she wakes, feed her. She won't be this small forever and trying to force her to sleep by overfeeding her is not the solution.
Its recommended to not introduce solids until 6mos anyway. Rice cereal is a binder, so if anything it will cause more problems with her sleep because her tummy will be upset, especially if she's fed it multiple times a day and then overfed it in her bottle at night. Back off on the solids for a month or two, start with something more nutritious like mashed avocado or mashed banana, and do not put food in her bottle. It won't help her sleep through hte night and its not wise to do that.
Remember that she is just a baby, not an adult, and sleeping through the night has nothing to do with how much she eats. Her body has a high metabolism and her stomach is only as big as her fist, regardless of how much you try to put in there, it will be digested quickly and hse will be hungry faster. If she wakes, feed her and put her back to bed. If you go with her flow, your life will be much easier and less stressful.