Deploying Unifi AC APs to Cisco PoE Switch?

Hello everyone,

I'm planning on using the Unifi AC Pros for our wireless network implementation. A simple preface that this is my first time working with Ubiquiti. I currently have a Fortigate 100D that is acting as our layer 3 device. It is in charge of Inter-VLAN routing, internet access (SFP fiber), and access policies. I have grouped together about 7 ports into a hardware switch (LAN) and created/assigned 5 VLANs to this hardware switch on the Fortigate. The VLANs on the Fortigate also provide DHCP and DNS, here are the VLANs:

VLAN 10 - Guest (192.168.10.0/24)
VLAN 16 - Corporate (192.168.16.0/23)
VLAN 32 - Dev (192.168.32.0/23)
VLAN 64 - Management (IT) (192.168.64.0/23)
VLAN 774 - Primus (Voice) (192.168.7.0/24)

I have a Cisco SG200 8-Port PoE switch which I plan on connecting the Unifi APs into. I hoped that I could use one of the ports on the switch as a trunk port to the Fortigate for the VLANs I want for wireless and then plug in the APs to the other ports. Is this implementation possible? And what would I need to do to configure the APs in this environment? Thank you.