Do you want your interface to conform to RS232 specs, or do you just want to rig something together that works for this particular device and might not work for any others?
RS232 is a very "tolerant" specification. If you want your device to truly conform to RS232, then you have to be able to handle a big range of voltages.
The latest specification is that valid voltages are in the range of +3 to +15v and -3 to -15v relative to ground, and -3 to 3 is invalid. The device should also be tolerant of any voltage up to +/- 25v, and the driver and receiver must be able to withstand a short circuit to any voltage level up to +/- 25v indefinitely.
From what I understand, the current needs to be adequate to drive 2500pF of capacitance at 30V/us, which comes out to 75mA. I'm not sure how close to this number off the shelf RS232 drivers come, but I have found a few references to "at least 45mA".
Now that's not to say that if your interface fails to meet one or more of these limits that it flat out won't work or will blow up, but that's the spec you should aim to hit.