As Leo mentioned, it's doubtful. I don't know of any 4" class scopes that are sold with mounts that are appropriate for 10" scopes.
As an example, take at look at the Meade LXD-75 mount. It's sold with scopes as small as 6" aperture, and as large as 10". A 10" on that mount is wobbly ... acceptable for visual use, but difficult to use for photography. And the LXD-75 is likely several times as massive as the mount under your 114mm scope.
There are members of this forum, and some of my observing buddies, who have mounted a 10" newtonian like the Orion on Celestron ASGT mounts (the upgraded CG-5 mounts) and actually managed to use them both visually and for astrophotography.
But unless your mount is heavy, and on a very stable tripod or pier, a 10" newtonian is going to vibrate under any but the lowest wind conditions. A 10" tube presents a large cross-section to the wind; so, even when well balanced and supported, it will be much more shaky than a 4" tube.