Firstly an AP, then it becomes a GP!

There are 4 integers $a,b,c,d$ where the first three terms $(a,b,c)$ form an Arithmetic Progression while the last three terms $(b,c,d)$ form a Geometric Progression. Given that the sum of the first and the last term $(a+d)$ is $37$ and the sum of the second and third term $(b+c)$ is $36$ . Find the sum of these 4 integers $a,b,c,d$ .