Nozomi Shinkansen from Shinagawa to Hiroshima

I am plannign a visit to Japan from Australia in April..My Qantas flight arrives at Narita at 6.35 pm! ..would I have time to take the NEX to Shinagawa Station..THEN.. catch the Nozomi Shinkansen to Hiroshima?...I cannot work out what time the last Nozomi Shinkansen leaves Shinagawa ..to Hiroshima pm??..thank you in advance...

7:57pm.

According to HyperDia (www.hyperdia.com) you're not going to make it to Hiroshima the night you land.

You land at 6:35 pm, let's say you deplane, get your luggage and clear Immigration and Customs by 7:30pm:
Catch the 7:50pm Narita Express to Shinagawa, arriving there at 8:59pm. The Shinkansen leaves at 9:07pm and the furthest it goes is Shin-Osaka station. You then have to wait until 6am the next morning for the Shinkansen to Hiroshima.

There is the option of an overnight train though.
1) 8:47pm Narita Express to Yokohama Station arriving 10:14pm
2) 10:24pm Ltd. Express Sunrise Seto overnight train to Okayama, arriving 6:27 am
3) 6:51am Shinkansen Mizuho 601 to Hiroshima, arriving at 7:25am

You're at the airport - fly to Hiroshima. Check that as an option.

thank you everyone..have confirmed my fears!...always worried that the flight may be late arriving..have experienced similar arriving at Kansai 2 hours late from Australia via Jetstar!!!.. had to stay at the Nikko Hotel in Kansai Airport till next morning... this trip in April I may stay in Shinagawa that night of arrival.. then move on the following morning at leisure.. thanks all!

Better reserve a hotel NOW.... It's going to be difficult in April, depending on the day.

It will not be difficult to reserve a hotel in April, but the kind of hotel or location may not be what you want. I sometimes book last-minute in Tokyo (well, not actually Tokyo - but nearby) and still manage to get something acceptable, but it would normally be more expensive than a pre-planned/booked hotel. Narita Airport hotels can be good value for evening arrivals - I target Y8k-Y10k for a double/twin with breakfast and leaving from there with a JRP makes sense with the free shuttles to the airport - have not done that for a few years, but guests have.