using a subquery/inline view may solve your problem. assuming everything else is working. To know for certain we would need to know the PK/FK relationship between all 3 tables.
SELECT pl.[Vendor Item No_],
bc.[Item No_],
min(ile.[Description]) as 'Item Description',
ile.[Quantity] as 'Quantity On Hand',
bc.[Bin Code] as 'Item Location'
FROM [live$Bin Content] bc
LEFT JOIN [live$purchase line] pl
on bc.[Item No_] = pl.[No_]
LEFT JOIN (SELECT sum(quantity) as Quantity, [Item no_]
FROM [live$item ledger entry]
GROUP BY [Item no_]) ile
on bc.[Item No_] = ile.[Item No_]
where bc.[Bin Code] like 'ANNEX BACK'
and bc.[Item No_] like 'sk%'
group by pl.[Vendor Item No_], bc.[Item No_], pl.[Description], bc.[Bin Code]
Per comment... if you want to add another table and aggregrate quantity...
SELECT pl.[Vendor Item No_],
bc.[Item No_],
min(ile.[Description]) as 'Item Description',
ile.[Quantity] as 'Quantity On Hand',
bc.[Bin Code] as 'Item Location'
FROM [live$Bin Content] bc
LEFT JOIN [live$purchase line] pl
on bc.[Item No_] = pl.[No_]
LEFT JOIN (SELECT sum(quantity) as Quantity, [Item no_]
FROM [live$item ledger entry]
GROUP BY [Item no_]) ile
on bc.[Item No_] = ile.[Item No_]
LEFT JOIN (SELECT sum(NEWFIELD) as Quantity, [Item no_]
FROM [newTable]
GROUP BY [Item no_]) newAlias
on bc.[Item No_] = newAlias.[Item No_]
where bc.[Bin Code] like 'ANNEX BACK'
and bc.[Item No_] like 'sk%'
group by pl.[Vendor Item No_], bc.[Item No_], pl.[Description], bc.[Bin Code]
However if the field is in one of the existing tables, you just need to add it as a new field on the subquery...
SELECT pl.[Vendor Item No_],
bc.[Item No_],
min(ile.[Description]) as 'Item Description',
ile.[Quantity] as 'Quantity On Hand',
bc.[Bin Code] as 'Item Location',
ile.count as count of items with inventory in ILE.
FROM [live$Bin Content] bc
LEFT JOIN [live$purchase line] pl
on bc.[Item No_] = pl.[No_]
LEFT JOIN (SELECT sum(quantity) as Quantity, count(Quantity) as count, [Item no_]
FROM [live$item ledger entry]
GROUP BY [Item no_]) ile
on bc.[Item No_] = ile.[Item No_]
where bc.[Bin Code] like 'ANNEX BACK'
and bc.[Item No_] like 'sk%'
group by pl.[Vendor Item No_], bc.[Item No_], pl.[Description], bc.[Bin Code]