He was the first person to win the prestigious King's Prize at Bisley three times, a record not matched until 1996 – over twenty years after his death.

During the First World War, he served as a machine-gunner and sniper, and was awarded the Distinguished Conduct Medal (DCM) for gallantry.

For most of his life, he worked in the armourer's shop established by his father, George Edmonton Fulton, at Bisley Camp, the centre of British rifle shooting.

[4] The year after Arthur was born, George Fulton, a soldier then in the Middlesex Regiment of the part-time Volunteer Force,[5][a] won the Queen's Prize, the most prestigious trophy in British rifle shooting.

[7] He subsequently used the prize money he had earned from shooting to establish an armourer's shop in Wandsworth around the year 1895.

[10] At the 1908 London Olympics, Arthur won a silver medal in the team military rifle event.

[19] His biographer, Tony Rennick, writes that Fulton was often "borrowed" by other regiments on account of his sniping skills.

[16] His younger brother, Frank Laurence Fulton, died of wounds at Karasouli (now Polykastro) in Greece on 17 March 1917, after being hit by mortar fire during a failed offensive towards the Vardar river.

Arthur Fulton was appointed as a Member of the Order of the British Empire in the 1959 New Year Honours for services to rifle shooting.