Finding the Fourth Proportional to 7,109.82, 9,811.76 and 3,965.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,109.82 : 9,811.76 = 3,965.94 : x
2. Step 2: Convert to fraction form
   7,109.82/9,811.76 = 3,965.94/x
3. Step 3: Cross multiply
   7,109.82x = 9,811.76 × 3,965.94
4. Step 4: Simplify right side
   7,109.82x = 38,912,851.45
5. Step 5: Solve for x
   x = 38,912,851.45/7,109.82
6. Step 6: Final answer
   x = 5,473.11