I have a data.txt file
1 2 3 4 5 6 7 cat data.txt 13 245 1323 10.1111 10.2222 60.1111 60.22222 13 133 2325 11.2222 11.333 61.
For the first part:
awk -v v1="11.6667" '$4>v1 {print $4;exit}' file 12.3333
And second part:
awk -v v2="62.9997" '$6>v2 {print p;exit} {p=$6}' file 62.3333
Both in one go:
awk -v v1="11.6667" -v v2="62.9997" '$4>v1 && !p1 {p1=$4} $6>v2 && !p2 {p2=p} {p=$6} END {print p1,p2}' file 12.3333 62.3333