Answer :
let the 4 parts be a,b,c and d respectively.
a+b+c+d=286
a + 1 = k ⇒ a = k-1
b - 2 = k ⇒ b = k+2
3 × c = k ⇒ c = k/3
d/4 = k ⇒ d = 4k
a+b+c+d=286
⇒ (k-1) + (k+2) + k/3 + 4k = 286
⇒ k+k+k/3+4k-1+2=286
⇒19k/3 = 285
⇒ k = 285×3/19 = 45
a = 45-1 = 44
b = 45+2 = 47
c = 45/3 = 15
d = 4×45 = 180
a+b+c+d=286
a + 1 = k ⇒ a = k-1
b - 2 = k ⇒ b = k+2
3 × c = k ⇒ c = k/3
d/4 = k ⇒ d = 4k
a+b+c+d=286
⇒ (k-1) + (k+2) + k/3 + 4k = 286
⇒ k+k+k/3+4k-1+2=286
⇒19k/3 = 285
⇒ k = 285×3/19 = 45
a = 45-1 = 44
b = 45+2 = 47
c = 45/3 = 15
d = 4×45 = 180