It would take too long for me to describe the procedures of how to do each kind, so I will use accounting as an example for each.
**Accounting Report**
Could be a report of the company's profits, losses, investment of assets, operational cost (both direct and indirect), or a combination of a few. Comprehensively, it would include all just mentioned.
This report would have a balance and income statement listed as an exhibit and commonly would have graphs and line charts (if a short report, it would just have the statement portion). The report would have narration of the different transactions of expenditures, revenue/capital gains, etc. It would depend a lot of what kind of business the company is in.
**Accounting Proposal**
Like a report, it is a narration with graphs and charts. The difference is that a proposal is a forecast of how a particular action would effect the company.
A proposal might be, to name a few types; "should we invest in new markets, buy new machines, hold more inventory, or create a new product."
One or more company departments would be involved, depending on the scope of the proposal. Each department would present and defend their position to their superiors.
Both may be done orally with a slide presentation, or in writing. A good proposal would be done both ways. Usually with the oral presentation first, followed by a written summary of the presentation. However, if the scope is large, a detailed account of the proposal may be given before the presentation so that the participants in the proposal can make an informed decision as to what direction to take. In this example for accounting, it would usually be a discussion of how to spend money to optimize growth and revenue. However, in special circumstances, it might be to "lose money," as in the case of a poison pill to prevent a hostile takeover...but that is another story :P .
For detail of a certain type of report or proposal, ask me on my blackboard.