Finding the Fourth Proportional to 9,128.82, 13,679.30 and 5,609.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.82 : 13,679.30 = 5,609.64 : x
2. Step 2: Convert to fraction form
   9,128.82/13,679.30 = 5,609.64/x
3. Step 3: Cross multiply
   9,128.82x = 13,679.30 × 5,609.64
4. Step 4: Simplify right side
   9,128.82x = 76,735,948.45
5. Step 5: Solve for x
   x = 76,735,948.45/9,128.82
6. Step 6: Final answer
   x = 8,405.90