I assume you want to pass the Order ID in. So:
CREATE PROCEDURE [dbo].[Procedure_Name]
(
@OrderID INT
) AS
BEGIN
Declare @OrderItemID AS INT
DECLARE @AppointmentID AS INT
DECLARE @PurchaseOrderID AS INT
DECLARE @PurchaseOrderItemID AS INT
DECLARE @SalesOrderID AS INT
DECLARE @SalesOrderItemID AS INT
SET @OrderItemID = (SELECT OrderItemID FROM [OrderItem] WHERE OrderID = @OrderID)
SET @AppointmentID = (SELECT AppoinmentID FROM [Appointment] WHERE OrderID = @OrderID)
SET @PurchaseOrderID = (SELECT PurchaseOrderID FROM [PurchaseOrder] WHERE OrderID = @OrderID)
END