“Vakratunda Mahaakaya; Koteesurya Sama Prabha
Nirvighnam kuru mey Deva; Sarva kaaryeshu Sarvadaa”
“O Lord Ganesha of Large body, curved trunk, with the brilliance of a
million suns, please make all my work free from obstacles, always.”
Lord Ganesha is the Lord of Beginnings and remover of constrained obstacles that goes beyond our control. In that case one need help of supreme power to get rid of those obstacles in life. Worshipping Lord Ganesha bring wisdom, prosperity in your life and make tasks happens without hurdles. He is worshipped first whenever any auspicious ceremony or event happens so that it gets completed without any hurdle. Wisdom is indeed very important in our life. We can win a battle or lose one because of the thinking that is required in that particular time.
The Sanskrit terms Vighnaharta ("obstacle-destroyer") is given to him for having importance in our life. As per Hindu mythology Lord Ganesh is considered to be first in line among all Gods that is why before starting any Puja/Homam/Yagna Ganpati puja is done first. It is said that when he was young, he obtained a boon from his father - Lord Shiva, that whenever anybody starts anything, he would be worshipped first. Hence this Yagna is done to pray Lord Ganapati, especially before starting any new venture/business to get desired results/benefits.
This Yagna has its own significance for people who are facing problems in life. Even after putting constant efforts when a person is not able to fetch any fruitful result, then he/she can perform this Yagna. For example: constant failure in exams, business or in work place or difficulties in a relationship. There will be recitation of powerful Ganesh Atharva Shirsha Stotram as per the Yagna schedule.