Finding the Fourth Proportional to 9,196, 12,687.06 and 5,609.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 12,687.06 = 5,609.71 : x
2. Step 2: Convert to fraction form
   9,196/12,687.06 = 5,609.71/x
3. Step 3: Cross multiply
   9,196x = 12,687.06 × 5,609.71
4. Step 4: Simplify right side
   9,196x = 71,170,727.35
5. Step 5: Solve for x
   x = 71,170,727.35/9,196
6. Step 6: Final answer
   x = 7,739.31