Finding the Fourth Proportional to 9,109.26, 13,651.27 and 5,205.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.26 : 13,651.27 = 5,205.42 : x
2. Step 2: Convert to fraction form
   9,109.26/13,651.27 = 5,205.42/x
3. Step 3: Cross multiply
   9,109.26x = 13,651.27 × 5,205.42
4. Step 4: Simplify right side
   9,109.26x = 71,060,593.88
5. Step 5: Solve for x
   x = 71,060,593.88/9,109.26
6. Step 6: Final answer
   x = 7,800.92