Get in Easter Island
Due to its extreme geographic isolation, many people assume that only the highly intrepid traveller can get to Easter Island. In fact, the island is accessible by regular commercial air service to Hanga Roa, Chile (IPC), and tourism is the main industry of the island.
Still, it is rather "out of the way" for most people, with a minimum of more than 5.5 hours in the air from the nearest continent, and very limited routes to get there. The only regular flights are via LAN Airlines Web, daily to Santiago de Chile, twice weekly to Lima, and once per week to Tahiti. With no competition for fares on an objectively lengthy and obscure flight, fares range between US$300-US$1200 round trip from Santiago.
About the only scenario in which Easter Island is "conveniently located" is on a round-the-world voyage, in which it provides an interesting stop on the way between Polynesia and South America, and will help bolster others' perception that you went "everywhere".
If you want to take the intrepid route, the "tall ship" Soren Larsen sails to Easter Island from New Zealand once a year. The voyage takes 35 days, crossing the point on earth furthest from land.
LAN flights to and from Lima, Peru operate on Wednesdays and Sundays.
Depart Lima 01:20m, Arrive Easter Island 06:55, Sunday/Wednesday
Depart Easter Island 18:20, Arrive Lima 23:10, Sunday/Wednesday
LAN flights to and from Santiago de Chile, Chile operate on Monday, Thursday, Friday and Saturdays.
LAN airlines can take you eastward to Santiago de Chile, Lima, Peru or westward to Tahiti. If you are departing for a foreign country from the airport, there will be a small exit fee, which must be paid in cash.
If you've managed to sail to Easter Island on your own, a logical next stop would be the Pitcairn Islands of "Mutiny on the Bounty" fame, one of the island's "nearest" neighbours and a much better contender for "most isolated", with no air access and no tourism at all.