Finding the Fourth Proportional to 6,196.71, 8,547.68 and 3,677.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.71 : 8,547.68 = 3,677.14 : x
2. Step 2: Convert to fraction form
   6,196.71/8,547.68 = 3,677.14/x
3. Step 3: Cross multiply
   6,196.71x = 8,547.68 × 3,677.14
4. Step 4: Simplify right side
   6,196.71x = 31,431,003.86
5. Step 5: Solve for x
   x = 31,431,003.86/6,196.71
6. Step 6: Final answer
   x = 5,072.21