Finding the Fourth Proportional to 6,196.08, 9,296.76 and 4,116.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.08 : 9,296.76 = 4,116.82 : x
2. Step 2: Convert to fraction form
   6,196.08/9,296.76 = 4,116.82/x
3. Step 3: Cross multiply
   6,196.08x = 9,296.76 × 4,116.82
4. Step 4: Simplify right side
   6,196.08x = 38,273,087.50
5. Step 5: Solve for x
   x = 38,273,087.50/6,196.08
6. Step 6: Final answer
   x = 6,176.98