The first term of a geometric progression is $2 \sqrt { 3 }$ and the fourth term is $\frac { 9 } { 4 }$ What is the sum to infinity of this geometric progression?
A $- 2 ( 2 - \sqrt { 3 } )$
B $4 ( 2 \sqrt { 3 } - 3 )$
C $\frac { 16 ( 8 \sqrt { 3 } + 9 ) } { 37 }$
D $\frac { 4 ( 2 \sqrt { 3 } - 3 ) } { 7 }$
$\mathbf { E } \frac { 4 ( 2 \sqrt { 3 } + 3 ) } { 7 }$
F $\quad 2 ( 2 + \sqrt { 3 } )$
G $4 ( 2 \sqrt { 3 } + 3 )$