This question is not very clear because it is not specified in what was the direction of the force exerted by the bird, compared to the direction of its flight. Also, the units for work are Joules, not Newtons, so I am assuming that the work given in the problem is `8.8*10^(-4) J` . It also appears that the mass of the bird is not a necessary given. (That is, the answer could be found without knowing the mass of the bird.)
Assuming that the force and the direction of the bird flight are the same, and the bird is flying horizontally (so the there is no work of gravity), then the work of the bird would be
W = F*d, where d is the distance of the bird's flight.
Then, `d = W/F` and plugging in the values for W and F given in the problem, we find
`d = (8.8*10^(-4))/(3.4*10^(-4)) = 2.59` meters.
The bird flew 2.59 meters.