If you keep pet shop swordtails in water around 70F to 74F, you will have happy healthy swordtails. In the old days, when heaters did not exist for the F average hobbyist, I always kept swords, platies, guppies and mollies without heaters. They all did just fine in the typical room temperatures around 70F to 72F. When we started seeing heaters as a need in our tanks, I found people advising 78F or thereabout and fish at those temperatures also seemed to do just fine.
Please be aware that I specify pet shop swords for a reason. I keep mostly wild type livebearers these days and each wild species seems to have its own best temperature. What you find in a pet shop is the result of crossing various platy and swordtail species to develop particular color or fin shape characteristics and tend to be almost a universally adaptable fish in terms of temperatures anywhere close to reasonable. Do not try simply dumping a wild type into the wrong temperature. Even though they are tougher than pet shop swords in many ways, they really do have a "best" temperature.