If both images are aligned (referenced to each other) you can use "composite bands" to join them in to one raster in ArcGis or ArcPro. To reference datasets that are not well aligned The, you can manually "georeference" on to the other with the georeferencing tool by identifying commonalities between both sets. I have had better luck in Aromas than Arturo for this task.
Joining bands from different sensors comes with a lot of caveats, but here are a few I would look into. The relative "intensity" or value of a band from one sensor to another can be very different. The RGB and NIR values may not be compatible and it will not help in visualization or classification. If the perspective (sensor position) and timing (light conditions) are different it may also limit the usefulness of combining these bands.
I have the problem with NIR image, because it has also 3 bands and it displays like RGB in Arcpro with different mean values(180, 193,196). So when I compile this NIR with RGB image with Composite bands tool, I obtain 6 bands instead of 4 bands.
Forgive me if I misinterpret the question, but it sounds like you now have a six band raster, but you want to visualize just a subset of those bands.
In ArcPro, you can change which bands display as RGB and Alpha in symbology. Often for false color imagery "Red" is replaced by one of the NIR bands.
If you need a raster with only 4 bands I believe the tool is "make raster" that let's you select individual bands to export that could then be added back together with "composite bands." It is probably easier in another software but it can be done in ArcPro.
Thanks a lot! I think that it worked. I selected and exported the first band of my NIR image as "red" and then I merged RGB bands with that, now I have a 4 band raster that the 4th band is NIR.