  Inspired by the recent discovery of the pentaquark states $P_c(4450)$ and
$P_c(4380)$, which can be viewed as excited nucleon states with hidden charm,
we study the three-body interaction of a kaon and a pair of $D\bar{D}^*$ in
isospin 0 and 1. We show that the two body interactions stringently constrained
by the existence of the $D_{s0}^*(2317)$, $D^*_{s1}(2460)$, $X(3872)$, and
$Z_c(3900)$, which are widely believed to contain large $DK$, $D^* K$, and
$D\bar{D}^*$ components, inevitably lead to the existence of a heavy $K^*$
meson with hidden charm. Concrete coupled channel three-body calculations yield
its mass and width as $(4307\pm 2)- i (9\pm 2)$ MeV with $I(J^P)=1/2(1^-)$.
This state, if found experimentally, definitely cannot be accommodated in a
$q\bar{q}$ picture, and therefore presents a clear case of an exotic hadron.
