Finding the Fourth Proportional to 5,906.80, 8,142.36 and 3,808.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.80 : 8,142.36 = 3,808.24 : x
2. Step 2: Convert to fraction form
   5,906.80/8,142.36 = 3,808.24/x
3. Step 3: Cross multiply
   5,906.80x = 8,142.36 × 3,808.24
4. Step 4: Simplify right side
   5,906.80x = 31,008,061.05
5. Step 5: Solve for x
   x = 31,008,061.05/5,906.80
6. Step 6: Final answer
   x = 5,249.55