Finding the Fourth Proportional to 6,196.57, 8,547.51 and 3,677.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.57 : 8,547.51 = 3,677.02 : x
2. Step 2: Convert to fraction form
   6,196.57/8,547.51 = 3,677.02/x
3. Step 3: Cross multiply
   6,196.57x = 8,547.51 × 3,677.02
4. Step 4: Simplify right side
   6,196.57x = 31,429,365.22
5. Step 5: Solve for x
   x = 31,429,365.22/6,196.57
6. Step 6: Final answer
   x = 5,072.06