Finding the Fourth Proportional to 9,659.40, 13,328.17 and 5,679.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.40 : 13,328.17 = 5,679.06 : x
2. Step 2: Convert to fraction form
   9,659.40/13,328.17 = 5,679.06/x
3. Step 3: Cross multiply
   9,659.40x = 13,328.17 × 5,679.06
4. Step 4: Simplify right side
   9,659.40x = 75,691,503.89
5. Step 5: Solve for x
   x = 75,691,503.89/9,659.40
6. Step 6: Final answer
   x = 7,836.04