Finding the Fourth Proportional to 6,456.82, 9,671.58 and 3,682.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.82 : 9,671.58 = 3,682.06 : x
2. Step 2: Convert to fraction form
   6,456.82/9,671.58 = 3,682.06/x
3. Step 3: Cross multiply
   6,456.82x = 9,671.58 × 3,682.06
4. Step 4: Simplify right side
   6,456.82x = 35,611,337.85
5. Step 5: Solve for x
   x = 35,611,337.85/6,456.82
6. Step 6: Final answer
   x = 5,515.31