Finding the Fourth Proportional to 6,196.37, 9,297.86 and 2,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.37 : 9,297.86 = 2,909.50 : x
2. Step 2: Convert to fraction form
   6,196.37/9,297.86 = 2,909.50/x
3. Step 3: Cross multiply
   6,196.37x = 9,297.86 × 2,909.50
4. Step 4: Simplify right side
   6,196.37x = 27,052,085.88
5. Step 5: Solve for x
   x = 27,052,085.88/6,196.37
6. Step 6: Final answer
   x = 4,365.80