Finding the Fourth Proportional to 9,564.33, 13,198.42 and 5,315.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.33 : 13,198.42 = 5,315.65 : x
2. Step 2: Convert to fraction form
   9,564.33/13,198.42 = 5,315.65/x
3. Step 3: Cross multiply
   9,564.33x = 13,198.42 × 5,315.65
4. Step 4: Simplify right side
   9,564.33x = 70,158,181.27
5. Step 5: Solve for x
   x = 70,158,181.27/9,564.33
6. Step 6: Final answer
   x = 7,335.40