Finding the Fourth Proportional to 6,664.50, 9,196.58 and 3,680.33

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.50 : 9,196.58 = 3,680.33 : x
2. Step 2: Convert to fraction form
   6,664.50/9,196.58 = 3,680.33/x
3. Step 3: Cross multiply
   6,664.50x = 9,196.58 × 3,680.33
4. Step 4: Simplify right side
   6,664.50x = 33,846,384.89
5. Step 5: Solve for x
   x = 33,846,384.89/6,664.50
6. Step 6: Final answer
   x = 5,078.61