Finding the Fourth Proportional to 6,166.50, 8,510.49 and 3,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166.50 : 8,510.49 = 3,682.50 : x
2. Step 2: Convert to fraction form
   6,166.50/8,510.49 = 3,682.50/x
3. Step 3: Cross multiply
   6,166.50x = 8,510.49 × 3,682.50
4. Step 4: Simplify right side
   6,166.50x = 31,339,879.43
5. Step 5: Solve for x
   x = 31,339,879.43/6,166.50
6. Step 6: Final answer
   x = 5,082.28