First integer integer X Next integers Indicated sum sum
 First integer: integer X 
 Next integers: _ , _ , _
 Indicated sum: sum of the first, third; and fourth consecutive integers, simplified : _
 Find next three integers????
 Sum of the first, third, and fourth consecutive integers, simplified ????
  First integer: integer X 
 Next integers: _ , _ , _
 Indicated sum: sum of the first, third; and fourth consecutive integers, simplified : _
 Find next three integers????
 Sum of the first, third, and fourth consecutive integers, simplified ????
 Next integers: _ , _ , _
 Indicated sum: sum of the first, third; and fourth consecutive integers, simplified : _
 Find next three integers????
 Sum of the first, third, and fourth consecutive integers, simplified ????
Solution
with the information given:
first integer = X
next integers: third : X+2, fourth: X+3
sum of the first, third; and fourth consecutive integers : X + X+2 +X +3 = 3X +5

