Finding the Fourth Proportional to 5,740.82, 7,920.34 and 3,616.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,740.82 : 7,920.34 = 3,616.53 : x
2. Step 2: Convert to fraction form
   5,740.82/7,920.34 = 3,616.53/x
3. Step 3: Cross multiply
   5,740.82x = 7,920.34 × 3,616.53
4. Step 4: Simplify right side
   5,740.82x = 28,644,147.22
5. Step 5: Solve for x
   x = 28,644,147.22/5,740.82
6. Step 6: Final answer
   x = 4,989.56