Match and Find Matrix Values with Criteria

Need a formula that searches a matrix, locates a range associated with two input values and then finds the nearst value to a third given input (eg 2.6) THAT is not higher than this value (2.6). "Black" and "cheese" in attached example correlate with the "range" values 1, 2, 3 and 12). The expected result would be 2 given the three inputs because 2 is the closest number to 2.6 that is not above 2.6…..help is MUCH APPRECIATED. Very important project here….