Find Nearest Date Record Without Cross Apply

Table :

ChangeID ChangeDate EquipmentID ModuleID EquipStatus
1 12/9/08 230 1789 Normal
2 13/9/08 450 1245 Normal
3 17/9/08 230 1789 Open
4 21/9/08 230 1899 Open
5 21/9/08 450 1674 Normal
6 22/9/08 450 2364 Normal

Given a date, what module was each equipment item in on that date?How do I get the date of the nearest previous event from a list like this? I got a query from one of the post in this Forum only using Cross Apply to find the nearest record from the above table based on Date i.e.

SELECT outerT.*
FROM your_table AS outerT
CROSS APPLY
(
SELECT TOP 1
equipment_id
, change_date
FROM your_table AS innerT
WHERE innerT.change_date <= @point_in_time
AND innerT.equipment_id = outerT.equipment_id
ORDER BY change_date DESC
) AS applicable_records
WHERE applicable_records.change_date = outerT.change_date

The problem is I need to get this query without using Cross Apply as i need to use the same for the LINQ which doesn't support Cross Apply.