Finding the Fourth Proportional to 6,664.18, 9,196.61 and 3,680.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.18 : 9,196.61 = 3,680.20 : x
2. Step 2: Convert to fraction form
   6,664.18/9,196.61 = 3,680.20/x
3. Step 3: Cross multiply
   6,664.18x = 9,196.61 × 3,680.20
4. Step 4: Simplify right side
   6,664.18x = 33,845,364.12
5. Step 5: Solve for x
   x = 33,845,364.12/6,664.18
6. Step 6: Final answer
   x = 5,078.70