Testosterone is not involved in in the regulation of the female human menstrual cycle. Testosterone is a male hormone produced in the testicles. It is involved with many of the secondary sex characteristics found in men. I do want to mention that all four of those hormones are present in men and women, but in very different amounts depending on whether male or female.
Estrogen, progesterone, and FSH are all female-specific hormones that are involved with the menstrual cycle. FSH stands for follicle stimulating hormone. In women, FSH helps control the production of the eggs by the ovaries. The hormone level is not constant and typically peaks just before ovulation.
Progesterone is produced in the female ovaries during ovulation. Its primary purpose is to help prepare the lining of the uterus to receive a fertilized egg cell. If the egg is not fertilized, the progesterone levels fall, and menstrual bleeding begins.
Estrogen aids in the development of secondary sex characteristics in women, but it also functions very similarly to progesterone, because it too helps regulate the menstrual cycle with the preparation of the uterine lining. Just like progesterone, if an egg reaches the uterus that is not fertilized, the levels of estrogen will fall.