sequencing function calls in javascript - are callbacks the only way?

Question

I read through various threads like this one for example.

But it really escapes me how to accomplish the following:

I have 4 functions, and want them happen one

Answer 1

I have played with the Promise, Sequence, Exception, Callback to understand how it works and finally made this code.

Call functions with callback and send result as parameter to another function in sequence and have a catch errors.

function firstFunction(par) {
    return new Promise(function (resolve, reject) {
        console.log("start " + par);
        setTimeout(function (par) {
            console.log(par);
            resolve(par + 1);
        }, 1000, par);
    });
}
function secondFunction(par) {
    return new Promise(function (resolve, reject) {
        console.log("start " + par);
        setTimeout(function (par) {
            console.log(par);
            try{
                throw "Let's make an error...";
            }
            catch(err)
            {
                reject(err);
            }
            resolve(par + 1);
        }, 1000, par);
    })
}
function thirdFunction(par) {
    return new Promise(function (resolve, reject) {
        console.log("start " + par);
        setTimeout(function (par) {
            console.log(par);
            resolve(par + 1);
        }, 1000, par);
    });
}

function CatchError(error) {
    console.log("Exception: " + error);
}

//Break all chain in second function
function ChainBrake() {
    firstFunction(1)
    .then(secondFunction)
    .then(thirdFunction)
    .catch(CatchError);    
}

//Log error and continue executing chain
function ChainContinue() {
    firstFunction(1)
    .catch(CatchError)
    .then(secondFunction)
    .catch(CatchError)
    .then(thirdFunction)
    .catch(CatchError);
}