Finding the Fourth Proportional to 6,664.05, 9,196.34 and 3,680.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.05 : 9,196.34 = 3,680.08 : x
2. Step 2: Convert to fraction form
   6,664.05/9,196.34 = 3,680.08/x
3. Step 3: Cross multiply
   6,664.05x = 9,196.34 × 3,680.08
4. Step 4: Simplify right side
   6,664.05x = 33,843,277.25
5. Step 5: Solve for x
   x = 33,843,277.25/6,664.05
6. Step 6: Final answer
   x = 5,078.49