Finding the Fourth Proportional to 6,664.17, 9,196.57 and 3,680.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.17 : 9,196.57 = 3,680.02 : x
2. Step 2: Convert to fraction form
   6,664.17/9,196.57 = 3,680.02/x
3. Step 3: Cross multiply
   6,664.17x = 9,196.57 × 3,680.02
4. Step 4: Simplify right side
   6,664.17x = 33,843,561.53
5. Step 5: Solve for x
   x = 33,843,561.53/6,664.17
6. Step 6: Final answer
   x = 5,078.44