
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
You receive a fortune cookie containing four two-digit positive integers as your lucky numbers. The first three numbers are 28, 46, and 59, but unfortunately, the last number is partially obscured. If the sum of the digits of all four numbers equals $\frac{1}{4}$ of the total of the four numbers, what is the smallest possible value for the fourth number?

Present the answer in LaTex format: \boxed{Your answer}
user