Arrange the given words in the sequence in which they occur in the dictionary.
i. Aperture
ii. Application
iii. Appliance
iv. Appeal

Let's sort the words systematically using alphabetical order:
Compare the first two letters of all words:

Aperture starts with 'Ap' followed by 'e'.

Application, Appliance, and Appeal start with 'App'.

Since 'e' comes before 'p', Aperture (i) is the first word.

Now compare the remaining words starting with 'App':

Appeal has 4th letter 'e'.

Application and Appliance have 4th letter 'l'.

Since 'e' comes before 'l', Appeal (iv) comes next.

Compare Appliance (iii) and Application (ii):

First five letters are identical ('Appli').

The 6th letter of Appliance is 'a' and for Application is 'c'. Since 'a' comes before 'c', Appliance (iii) comes before Application (ii).

Combining the order gives: i, iv, iii, ii.