Finding the Fourth Proportional to 7,109.50, 9,811.50 and 3,965.68

Step by Step Solution

1. Step 1: Write the proportion equation
   7,109.50 : 9,811.50 = 3,965.68 : x
2. Step 2: Convert to fraction form
   7,109.50/9,811.50 = 3,965.68/x
3. Step 3: Cross multiply
   7,109.50x = 9,811.50 × 3,965.68
4. Step 4: Simplify right side
   7,109.50x = 38,909,269.32
5. Step 5: Solve for x
   x = 38,909,269.32/7,109.50
6. Step 6: Final answer
   x = 5,472.86