Finding the Fourth Proportional to 9,618.69, 13,273.97 and 5,642.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,618.69 : 13,273.97 = 5,642.67 : x
2. Step 2: Convert to fraction form
   9,618.69/13,273.97 = 5,642.67/x
3. Step 3: Cross multiply
   9,618.69x = 13,273.97 × 5,642.67
4. Step 4: Simplify right side
   9,618.69x = 74,900,604.09
5. Step 5: Solve for x
   x = 74,900,604.09/9,618.69
6. Step 6: Final answer
   x = 7,786.99