The person most benefited receives a total of $4600, while the second and third persons receive $3700 and $3500, respectively.
The $10,000 will be distributed among three individuals in a way that the first person receives $900 more than the second person, and the second person receives $200 more than the third person. Let's denote the amount received by the third person as x. The second person then receives x + $200, and the first person receives (x + $200) + $900 = x + $1100.
The total sum is $10,000, so the equation can be formed as follows: x + (x + $200) + (x + $1100) = $10,000. Solving this equation gives x = $3500. Therefore, the third person receives $3500, the second person receives $3700 ($3500 + $200), and the first person receives $4600 ($3500 + $200 + $900).