Finding the Fourth Proportional to 9,680.14, 13,358.56 and 5,488.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.14 : 13,358.56 = 5,488.38 : x
2. Step 2: Convert to fraction form
   9,680.14/13,358.56 = 5,488.38/x
3. Step 3: Cross multiply
   9,680.14x = 13,358.56 × 5,488.38
4. Step 4: Simplify right side
   9,680.14x = 73,316,853.53
5. Step 5: Solve for x
   x = 73,316,853.53/9,680.14
6. Step 6: Final answer
   x = 7,573.95