Finding the Fourth Proportional to 9,679.89, 13,358.25 and 5,488.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,679.89 : 13,358.25 = 5,488.14 : x
2. Step 2: Convert to fraction form
   9,679.89/13,358.25 = 5,488.14/x
3. Step 3: Cross multiply
   9,679.89x = 13,358.25 × 5,488.14
4. Step 4: Simplify right side
   9,679.89x = 73,311,946.16
5. Step 5: Solve for x
   x = 73,311,946.16/9,679.89
6. Step 6: Final answer
   x = 7,573.63