||You need to locate the files (dbf's) metadata. THis will tell you the projection.
You lat long looks like it is in Geographic -> North America -> North America Harn 1983
And your x,y looks to be in UTM for michigan don't know the zone off hand. Remove the 0's from -082, that might help
IF you can't select the x, y when you start the dialogue box and load your file, then try the below mehtod.
An alternative if after projected you still have problems read below:
Open your data (your original dbf, or xml) in access. Go through the steps, make your fields or select top row, choose a name to call your sheet and you have a new mdb file. Go to Data -add x,y data and open your mdb file and you will see your data. If you did the fields right it will pop up in the x (for longitude) and y for Latitude. Select the original projection for your data and apply. Now your data is added as an event. Export this shapefile if you need to manipulate it. ALSO in ACCESS when naming your sheet, there can be no spaces. I always save as the defualt sheet1, and name my mbd file.
That should do it!