Finding the Fourth Proportional to 9,523.69, 13,140.57 and 5,747.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,523.69 : 13,140.57 = 5,747.47 : x
2. Step 2: Convert to fraction form
   9,523.69/13,140.57 = 5,747.47/x
3. Step 3: Cross multiply
   9,523.69x = 13,140.57 × 5,747.47
4. Step 4: Simplify right side
   9,523.69x = 75,525,031.86
5. Step 5: Solve for x
   x = 75,525,031.86/9,523.69
6. Step 6: Final answer
   x = 7,930.23