Obtaining the header of a table according to the Max value in last row of a table

Maybe something like this...


Data Range

	A	B	C	D	E	F
1	This	That	Other	-----	Max	Headers
2	58	43	51		73	This
3	73	50	73			Other
4

This formula entered in E2:

=MAX(A3:C3)

This array formula** entered in F2:

=IFERROR(INDEX($1:$1,SMALL(IF(A$3:C$3=E$2,COLUMN(A3:C3)),ROWS(F$2:F2))),"")

** array formulas need to be entered using the key
combination of CTRL,SHIFT,ENTER (not just ENTER).
Hold down both the CTRL key and the SHIFT key
then hit ENTER.

Copy down until you get blanks.