Deeper HasManyThrough.. possible?

Hi there.. I've a shopping system that I'm putting together for a local charity.. People 'pledge' to give a donation and I'm building a system to track smaller donations until their target is reached!

My tables, all parents to the one below it

1. Charity (there are a few arms to the charity) top level HAS id
2. Plan (several plans available to users) HAS charity_id
3. Commitments (the agreed total the user said they'll pay) HAS plan_id
4. Payments (each small donation, that will eventually tally up to a total stored in the previous table) HAS commitment_id

So I'm building a dashboard. I want to show all charities. How many Commitments they have and how many are fulfilled.

I've been toying with this: https://github.com/staudenmeir/eloquent-has-many-deep

But I feel that it might be over kill. I want 4 counts:

1. Total commitments. (everything from commitments table..I've got this one :p )

2. Total Not started (everything from commitments, where there's NO mapped payment record)

3. Total in progress (as above, but there's at least one mapped payment record, where the sum of them all, does not equal the amount specified in the commitments table)

4 . Total finished (as above, but where mapped payments are => commitments amount.

I want to tally up the payments table for each commitment table to see if

commitments.amount == SUM(payments.amount)

If that makes sense?

hasManyThrough is limited to 3 tables. correct? Is it possible to do the above?... please :)

Here is my RAW SQL that works great (I know I could use this, but I want to use Eloquent as it auto injects charity ID from the Charity model

select commitments.*
from `payments`

inner join `commitments` on `commitments`.`id` = `payments`.`commitments_id` 

inner join `plans` on `plans`.`id` = `orders`.`plan_id`

where `plans`.`deleted_at` is null
and `plans`.`charity_id` = 1
group by `payments`.`commitments_id`
having sum(payments.amount) >= commitments.amount