Finding the Fourth Proportional to 2,271.04, 3,408.16 and 1,538.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.04 : 3,408.16 = 1,538.80 : x
2. Step 2: Convert to fraction form
   2,271.04/3,408.16 = 1,538.80/x
3. Step 3: Cross multiply
   2,271.04x = 3,408.16 × 1,538.80
4. Step 4: Simplify right side
   2,271.04x = 5,244,476.61
5. Step 5: Solve for x
   x = 5,244,476.61/2,271.04
6. Step 6: Final answer
   x = 2,309.28