Compatible, but tends to be excessive, strong, turbulent and unmanageable.
Fire to
Earth
Earth impedes the flow of water, hence generally incompatible, except for a brief period in early Winter when some earth is needed to channel (manage) the copious water flow.
Fire to
Wood
Compatible, but less so in Autumn when wood declines and is unable to absorb water (rot).
Fire to
Fire
Contrary to popular notion, fire is not hostile to water. In fact, water needs fire in Winter and early Spring to thaw and become useful. Winter water without fire will be quite useless. Compatible.
Fire to
Metal
Although metal produces water, uncontrolled production has undesirable effects (floods). Moreover, metal will sink (drown) in the water it produces. Hence incompatible.