The distance that a 10 Gigabit Ethernet (10G) signal can travel over OM4 (Optical Multimode 4) fiber optic cable depends on various factors, including the specific transceivers used, the quality of the fiber optic cable, and the network architecture. OM4 is a type of multimode optical fiber with optimized characteristics for high-speed data transmission. 

As a general guideline, the reach of 10G over OM4 multimode fiber is typically specified as follows:

1. Short Reach (SR) Transceivers (e.g., 10GBASE-SR): Up to 300 meters (approximately 984 feet).

2. Long Reach (LR) Transceivers (e.g., 10GBASE-LR): Up to 400 meters (approximately 1312 feet).

3. Extended Reach (ER) Transceivers (e.g., 10GBASE-ER): Up to 550 meters (approximately 1804 feet).

It's important to note that these are general distance estimates, and actual performance may vary based on factors such as the quality of the fiber, connector losses, and the specific transceiver modules used. Additionally, the use of mode conditioning patches or other optical components may impact the achievable distances.

If you have specific transceivers in mind or if you are designing a network, it is advisable to check the datasheets provided by the transceiver and cable manufacturers for detailed information on the supported distances and any additional considerations for your particular setup.