Finding the Fourth Proportional to 9,186.56, 12,680.31 and 5,409.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.56 : 12,680.31 = 5,409.42 : x
2. Step 2: Convert to fraction form
   9,186.56/12,680.31 = 5,409.42/x
3. Step 3: Cross multiply
   9,186.56x = 12,680.31 × 5,409.42
4. Step 4: Simplify right side
   9,186.56x = 68,593,122.52
5. Step 5: Solve for x
   x = 68,593,122.52/9,186.56
6. Step 6: Final answer
   x = 7,466.68