You may not need to have an equivalent resistance to the bulb that is being replaced.
There are two issues being dealt with here. One is the glowing lamp and the other is what effect the of too little load will have on the rest of the car.
On the glowing lamp issue, all that is needed is to keep the LEDs from lighting when off. The only effect is what it looks like. The current is leaking from the control module whatever, and a resistor will prevent the LEDs from glowing.
It's not easy to accurately estimate the resistor value needed to stop the light glowing, but the 1 k resistor will probably work, and will generate less than 1/4 W of heat when on, so a physically small resistor can be used. A higher value resistor will probably work, but it won't be any easier to fit or cost less than a 1 k resistor.
On the issue of the effect of too small a load on the rest of the car, the first thing to do is to try the car with no light fitted at all. If the car behaves fine and doesn't give any warnings, you're done, and there is nothing else to worry about. A lot of cars don't give warnings for failed interior lights.
If the car does give some warning when the light is missing, then the first thing to try is the 1 k resistor. With the light off, but the LEDs glowing, there will be somewhere around 8 V across the LED lamp assembly. With an incandescent bulb or a 1 k resistor, there will most likely be less than 1 V across the assembly. Some circuits will detect the 8 V and think that there is a fault, but will be happy with the small voltage.
If the car still gives warnings with a 1 k resistor, then you need to look at a lower value resistor that will take a similar current to the incandescent bulb. That means it will generate as much heat as the incandescent bulb, so will need to be physically larger, like the one KeepItSimpleStupid recommended.