I want to define several styles in MS Word: for Theorems, Definitions,
Facts, etc.  (i.e. "proclamations" in the terminology of LaTeX) They
will be similar
to one another in styling; the main difference being the leading word.

Here's the problem I can't solve: want 
 1) all of these numbered in a single series
 2) Numbers to be {ChapterNumber).(ProclamationNumber), restarting the
    second number at 1 after each Level 1 heading.

Example:

Chapter 1. 
   Definition 1.1. ...

   Definition 1.2

   Theorem 1.3

   Example 1.4...

Chapter 2
   Theorem 2.1
   Definition  2.2
   ..

(A sample Word doc with the Theorem, Definition styles defined and
used
would be most helpful.)

BTW.  I am using recent versions of MS Word.

I do have a similar doument. It will allow you to create a document in
this form

1. This is Chapter 1   

1.1 This is subheading 1 under chapter 1 (can be name of a definition)

1.1.1. This is sub-subheading 1 under subheading 1 (can be name of a
theorem)

2. This is Chaper 2

The numbering comes on the left side. And, all the subheadings have
the same style (but they can be changed trivially). I am not too sure
if the numbering can be moved to the right side though. Let me know if
such a document is acceptable to you?

regards
Chirayu

Thanks Chirayu, but your suggestion will not handle what I need to do.
I don't want the proclamations to be sections (then they ruin the outline,
TOC, etc); also, need the numbers on "the right side", and need the 
numbering of the proclamations to continue increasing within a chapter (even
in different sections or subsections)

Thanks again
Fred

From bitter experience, I can tell you that it will take a *lot* of
work, and the results will be unpredictable.  If you have access to
LaTeX or TeX, I would urge you most strongly to use that, rather than
MS Word.  It will save you a lot of time and heartache.

As to how to do it in Word?  I'm not telling.  Mostly because I've
forgotten all the details, and have no desire to remember it.

Ugly hack but seems applicable.

http://research.microsoft.com/users/jckrumm/Word%20Tips/technical%20publishing.htm#Numbered%20Equations

You can probably create separate running lists by creating differently
named SEQ fields (as described in the link).

Thanks for your suggestions.

The SEQ fields do the job for numbering and the document was helpful
in other ways, but I've decided to take wengland's advice.  Just too
many mysteries. Painful as TeX is to use, it's better than Word (even
with the "help" of MathType)