Finding the Fourth Proportional to 6,664.39, 9,196.56 and 3,680.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.39 : 9,196.56 = 3,680.16 : x
2. Step 2: Convert to fraction form
   6,664.39/9,196.56 = 3,680.16/x
3. Step 3: Cross multiply
   6,664.39x = 9,196.56 × 3,680.16
4. Step 4: Simplify right side
   6,664.39x = 33,844,813.98
5. Step 5: Solve for x
   x = 33,844,813.98/6,664.39
6. Step 6: Final answer
   x = 5,078.46