DPO stands for days post ovulation, so DPO 1 should be the day after you actually ovulated. I believe DPO 1 would also be the start of your tww.
Here's my interpretation of your example. If you get a positive opk on July 24th, then your ovulation day would be July 25th, so DPO 1 should be July 26th. I would then guess that your next cycle would start on August 9th.
It looks like you're using the ovulation tracker. If you use also use OPK and just mark the results in your tracker, the tracker should calculate the DPO for you.
Baby Dust!