From the Dumaresq to reliable fire-control tables

What was the first ship fitted with a mechanical targeting computer rather than relying on ranging shots?

The answer depends on the definition: early aids appeared around 1902-1905, the Dreyer table was a major integrated system, and the 1927 Admiralty Fire Control Table offers the more convincing claim to reliability.

There is no uncontested first fire-control system because mechanical aids, calculating tables, and reliable centralized control arrived in stages. Development runs from the Dumaresq in 1902 through the Dreyer table to the 1927 Admiralty Fire Control Table. Later automatic firing constraints were not equally reliable on every ship. Computation alone did not make a firing system fully dependable.