x, x+2, x+4, x+6 - four consecutive even integers
[tex]x+x+2+x+4+x+6=244 \\
4x+12=244 \\
4x=244-12 \\
4x=232 \\
x=\frac{232}{4} \\
x=58 \Leftarrow \hbox{the first integer} \\ \\
\hbox{the second integer: } x+2=58+2=60 \\ \\
\hbox{the third integer: } x+4=58+4=62 \\ \\
\hbox{the fourth integer: } x+6=58+6=64[/tex]
The integers are 58, 60, 62, 64.