Finding the Fourth Proportional to 6,662.71, 9,194.56 and 3,678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,662.71 : 9,194.56 = 3,678.56 : x
2. Step 2: Convert to fraction form
   6,662.71/9,194.56 = 3,678.56/x
3. Step 3: Cross multiply
   6,662.71x = 9,194.56 × 3,678.56
4. Step 4: Simplify right side
   6,662.71x = 33,822,792.36
5. Step 5: Solve for x
   x = 33,822,792.36/6,662.71
6. Step 6: Final answer
   x = 5,076.44