Disk manager shows disk as "Basic" (for as long as I can decipher the screenshot). So, shink your last partition as much as you can (as as much as you want allocatd for Linux-only), create extended partition there, and within that extended partition create one partition for root (the size as discussed), 2-4gb swap partition, and rest for Linux data partition.
Keep in mind you cannot (easily) access data on Liniux partitions from within Windows, so if sharing between Windows and Linux is important, dedicata a NTFS partition for that.