Just in case anyone has a similar problem to this, I'm sharing the solution that was provided by ScottPlecther with the help of a CTE. Once again many thanks to Scott, your a star!!!
;WITH cte_qtr_bals AS (
SELECT
DATEADD(QUARTER, DATEDIFF(QUARTER, 0, ORDER_DATE), 0) AS QTD_SD,
LDGRID,
SUM(ISNULL(T_AMT, 0) * CASE WHEN TDM = '0' THEN -1 ELSE 1 END) AS QTR_BAL
FROM LDGRTRN
WHERE LDGRID IN ('LDGR_ID1','LDGR_ID2','LDGR_ID3','LDGR_ID4')
GROUP BY DATEADD(QUARTER, DATEDIFF(QUARTER, 0, ORDER_DATE), 0), LDGRID
)
SELECT DATEADD(QUARTER, DATEDIFF(QUARTER, 0, L.ORDER_DATE), 0) AS QTD_SD,
A.LDGRID,
DATEPART(QUARTER, ORDER_DATE) QTR_#,
(DATEPART(YYYY, ORDER_DATE)) AS YR,
(SELECT SUM(QTR_BAL)
FROM cte_qtr_bals cqb
WHERE cqb.QTD_SD < DATEADD(QUARTER, DATEDIFF(QUARTER, 0, L.ORDER_DATE), 0)
AND cqb.LDGRID = L.LDGRID
) AS QTR_OPN_BAL
FROM LDGRACCTS A LEFT JOIN LDGRTRN L ON A.LDGRID = L.LDGRID
WHERE A.LDGRID IN ('LDGR_ID1','LDGR_ID2','LDGR_ID3','LDGR_ID4')
AND L.ORDER_DATE >= DATEADD(QUARTER, DATEDIFF(QUARTER, 0, @START_DATE), 0)
AND L.ORDER_DATE < DATEADD(QUARTER, DATEDIFF(QUARTER, 0, @END_DATE) + 1, 0)
GROUP BY DATEADD(QUARTER, DATEDIFF(QUARTER, 0, ORDER_DATE), 0),
A.LDGRID,
(DATEPART(YYYY, ORDER_DATE)),
DATEPART(QUARTER, ORDER_DATE)
ORDER BY QTD_SD,
LDGRID