Try this:
% Define cell array
ca = {...
'TS-G8-box7-017_0000_-0.…', 'box7', '017', '-0.0' , 'box7_tomo_017';
'TS-G8-box7-017_0010_-10…', 'box7', '017', '-10.0', 'box7_tomo_017';
'TS-G8-box7-017_0016_-12…', 'box7', '017', '-12.0', 'box7_tomo_017';
'TS-G8-box7-017_0017_-14…', 'box7', '017', '-14.0', 'box7_tomo_017';
'TS-G8-box7-017_0018_-16…', 'box7', '017', '-16.0', 'box7_tomo_017';
'TS-G8-box7-017_0019_-18…', 'box7', '017', '-18.0', 'box7_tomo_017';
'TS-G8-box7-017_0006_-2.…', 'box7', '017', '-2.0' , 'box7_tomo_017';
'TS-G8-box7-017_0020_-20…', 'box7', '017', '-20.0', 'box7_tomo_017';
'TS-G8-box7-017_0026_-22…', 'box7', '017', '-22.0', 'box7_tomo_017';
'TS-G8-box7-017_0027_-24…', 'box7', '017', '-24.0', 'box7_tomo_017'}
% Extract column 4 and convert to doubles.
column4 = str2double(ca(:,4))
% Sort numerically.
[sortedValues, sortOrder] = sort(column4);
% Apply the sort order to the original cell array, creating a new cell array, ca2.
ca2 = ca(sortOrder, :)
