Finding the Fourth Proportional to 6,682.71, 9,216.05 and 5,738.21

Step by Step Solution

1. Step 1: Write the proportion equation
   6,682.71 : 9,216.05 = 5,738.21 : x
2. Step 2: Convert to fraction form
   6,682.71/9,216.05 = 5,738.21/x
3. Step 3: Cross multiply
   6,682.71x = 9,216.05 × 5,738.21
4. Step 4: Simplify right side
   6,682.71x = 52,883,630.27
5. Step 5: Solve for x
   x = 52,883,630.27/6,682.71
6. Step 6: Final answer
   x = 7,913.50