A young couple has made a non-refundable deposit of the first month's rent (equal to $X) on an apartment lease. The next day they find a different apartment that they like just as well, but its monthly rent is only $534. Assume an annual interest rate of r = 6%.

If they plan to be in the apartment only for 6 month. Determine the range of X in order that it pays for them to switch to the new apartment (i.e X is > what value). ( answer to be in 2 decimal places)