This article provides information about using the 1598L 24V to 12V power adapter, E239980, work on other touch monitors.

DC Barrel Dimensions: The 24V to 12V adapter has the following specs: Coaxial power jack (2.1mm (+0.0 -0.1mm) pin outer diameter, 5.5mm (+/- 0.05mm)barrel inner diameter, 9.5mm (+/- 0.3mm) Barrel depth, 400mm (+/- 20mm) Cable length) Center pin is +positive.

Output Voltage: 12VDC +/- 5%
Output Current: Maximum 3.5A

Therefore, if a monitor's power input connector and power input meets the above specifications then you should be able to use the 24V to 12V power converter with it.