How and why does ISIS appeal to some Western publics?

How and why does Islamic State appeal to some? The Islamic State (also known as ISIS and Daesh), seemingly enjoyed a meteoric rise to power and infamy. It appeared an unstoppable force, sweeping aside armed forces opposing them in Iraq, Syria and Libya. It was something that many found difficult to understand, let alone adequately explain.
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Serita:
We never really established a real relationship.
(3 October 2016)

Serita:
Also I call the guy just the father of my child because it was just a one time thing.
(3 October 2016)

Serita:
I didn't tell the father of my child that I'm pregnant for him neither can I tell my parents because they are very strict and I know that they might kick me out.
(3 October 2016)

Serita:
I'm 15 and I've recently just found out that I'm pregnant.
(3 October 2016)

Lilian:
I want name my child after her but I don't want exact names.
(3 October 2016)

Leone:
As for me I can work on myself to be the best version of myself that I can be.
(3 October 2016)

Leone:
Maybe it's for her own good that I let her go; she can have that college experience and meet someone better.
(3 October 2016)

Leone:
We're fresh out of highschool and have been together for a long time.
(3 October 2016)

Leone:
She's told me that I need to get a degree if I'd like to be with her.
(3 October 2016)

Leone:
I love her to death and she loves me but I don't want her investing so much into someone who may not be up to the standards of her parent or herself.
(3 October 2016)