Finding the Fourth Proportional to 5,408.98, 7,467.77 and 4,147.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,408.98 : 7,467.77 = 4,147.61 : x
2. Step 2: Convert to fraction form
   5,408.98/7,467.77 = 4,147.61/x
3. Step 3: Cross multiply
   5,408.98x = 7,467.77 × 4,147.61
4. Step 4: Simplify right side
   5,408.98x = 30,973,339.45
5. Step 5: Solve for x
   x = 30,973,339.45/5,408.98
6. Step 6: Final answer
   x = 5,726.28