Hi Kathy,
Below is the sample link which will help you to get the details of the clicked 'Appointment' by defining a clientside function in the ClientSideOnAppointmnetClick property.
http://websamples.syncfusion.com/samples/Tools.Web/5.1.0.51/Forum-66816/main.htmThe sample will help you to get the Resource id, Resource name, Appointment id, StartTime, EndTime, Subject and the Location for the clicked appointments.
Please let us know if this helps you.
Regards,
Valli