Finding the Fourth Proportional to 8,200.76, 12,292.52 and 3,814.60

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200.76 : 12,292.52 = 3,814.60 : x
2. Step 2: Convert to fraction form
   8,200.76/12,292.52 = 3,814.60/x
3. Step 3: Cross multiply
   8,200.76x = 12,292.52 × 3,814.60
4. Step 4: Simplify right side
   8,200.76x = 46,891,046.79
5. Step 5: Solve for x
   x = 46,891,046.79/8,200.76
6. Step 6: Final answer
   x = 5,717.89