Self join to get the first classID for a report - sql

Question

I have the following table :
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
CREATE TABLE [dbo].[myTable]
(
[importID] [INT] IDENTITY(1,1) NOT NULL,
[classID] [INT] NOT NULL,
[priorReportID] [INT] NOT NULL,
[currentReportID] [INT] NOT NULL,
[dateStamp] AS (GETDATE())
) ON [PRIMARY]
GO
SET IDENTITY_INSERT [dbo].[myTable] ON
GO
INSERT INTO [dbo].[myTable] ([importID], [classID], [priorReportID], [currentReportID])
VALUES (1, 2069, 3825, 3833), (2, 2069, 3826, 3834),
(3, 2069, 3827, 3835), (4, 2069, 3832, 3836),
(5, 2091, 3889, 3890), (6, 2095, 3894, 3895),
(7, 2098, 3895, 3898), (8, 2098, 3896, 3899),
(9, 2098, 3897, 3900), (10, 2097, 2190, 2193),
(11, 2096, 2188, 2190), (12, 2094, 2187, 2188),
(13, 2093, 2180, 2187)
GO
SET IDENTITY_INSERT [dbo].[myTable] OFF
GO
I am trying to get the first ClassID when a particular report was created.
select *
from mytable
select *
from mytable
where currentReportID = 3833
select *
from mytable
where currentReportID = 3825
select *
from mytable
where currentReportID = 2193
select *
from mytable
where currentReportID = 2190
select *
from mytable
where currentReportID = 2188
select *
from mytable
where currentReportID = 2187
select *
from mytable
where currentReportID = 2180
In the example above: reportID = 2193 was actually created in classID = 2093.
Similarly, reportID = 3833 was created in classID = 2069.
Basically, I need to traverse down the records until there is no more currentReportID = priorReportID condition is satisfied.
Thanks in advance.