I think 1kOhm is too little.
If I'm calculating correctly, and the monitor only draws 100uA, then the effective resistence is 14kOhms. Sticking a 1kOm resister in front of that would result in about 4.67V drop across the monitor.
Try something like this:
+5V
|
[27 Ohm]
|
+----[10 Ohm]----GND
|
[Temp Monitor]
|
GND
That should give you slightly under 1.4V with perfect components. Very likely, the component tolerences would cancel things out to give close to 1.4. Just make sure the current is 100uA, cause if I remember correctly, Radio Shack's resistors have a 1/2 W tolerence.
Or, if you're lazy, hook up a rheostat to your voltmeter and set it to output 7/25 of the input voltage.
This is all assuming I haven't forgotten my EE. Feel free to correct me if I'm wrong.
Edit: One more thing. Feel free to up the resistence by an order of 10 or more. As long as the ratio is the same and you don't raise it too high, current will still flow enough to drive the monitor and the voltage across the monitor will still be 1.4V.