Tenant Screening question

[Gabe N.]

I have a prospective tenant that filled out an application.

However I need some advice on qualifying this individual.

The current rent is 3600
The applicant is a family 
The Spouse doesnt work 
The main applicant gross W2 income is around $10000 month
The monthly net income is $5700
No car loan's 
No credit cards balances
They pay $800 month on a personal loan.

Since a rent check is written after net income is received. I am concerned that they might not be able to afford the rent.
would you qualify a prospective tenant based on these numbers?  In the past I have asked for a higher deposit but I just dont want to deal with any potential non payment issues nor evictions.