Act of succeeding; succession., That which comes after; hence, consequence, issue, or result, of an endeavor or undertaking, whether good or bad; the outcome of effort., The favorable or prosperous termination of anything attempted; the attainment of a proposed object; prosperous issue., That which meets with, or one who accomplishes, favorable results, as a play or a player.

Act of succeeding; succession., That which comes after; hence, consequence, issue, or result, of an endeavor or undertaking, whether good or bad; the outcome of effort., The favorable or prosperous termination of anything attempted; the attainment of a proposed object; prosperous issue., That which meets with, or one who accomplishes, favorable results, as a play or a player.

Act of succeeding; succession., That which comes after; hence, consequence, issue, or result, of an endeavor or undertaking, whether good or bad; the outcome of effort., The favorable or prosperous termination of anything attempted; the attainment of a proposed object; prosperous issue., That which meets with, or one who accomplishes, favorable results, as a play or a player.

Yes, you have spelled prosperous correctly.

no prosperous is not an adverb. it is an adjective.