Sweet Caroline singer Neil and his manager beau Katie also wed in April, exchanging vows in front of family and friends in Los Angeles.
The 71-year-old, who has been married twice before, revealed the news via Twitter, posting:
"Good news coming from sunny LA/ and you're the first I want to tell/ Katie & I just got engaged/ and I hope you wish us well."
The rounded sleeping capsules send guests drifting into ocean before arriving on desert island by morning.
Sitting on the saddle activates the part of the brain responsible for learning, a study has claimed.
Scientists are appealing for more people to donate their brains for research after they die.
Life on Earth may have arrived from Mars on an asteroid, scientists have claimed.
Lunar mission scheduled at the end of 2017 could find out if beer can be brewed on the moon.
A bottle used to teach children how far litter can travel ended up on Scottish beach after 8,700-mile journey.
Confused Apple customers are finding coins in their MacBooks.
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