Finding the Fourth Proportional to 6,196.50, 9,296.22 and 2,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.50 : 9,296.22 = 2,092.50 : x
2. Step 2: Convert to fraction form
   6,196.50/9,296.22 = 2,092.50/x
3. Step 3: Cross multiply
   6,196.50x = 9,296.22 × 2,092.50
4. Step 4: Simplify right side
   6,196.50x = 19,452,340.35
5. Step 5: Solve for x
   x = 19,452,340.35/6,196.50
6. Step 6: Final answer
   x = 3,139.25