Finding the Fourth Proportional to 6,991.29, 9,648.06 and 3,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,991.29 : 9,648.06 = 3,847.50 : x
2. Step 2: Convert to fraction form
   6,991.29/9,648.06 = 3,847.50/x
3. Step 3: Cross multiply
   6,991.29x = 9,648.06 × 3,847.50
4. Step 4: Simplify right side
   6,991.29x = 37,120,910.85
5. Step 5: Solve for x
   x = 37,120,910.85/6,991.29
6. Step 6: Final answer
   x = 5,309.59