Finding the Fourth Proportional to 9,969.60, 13,757.97 and 5,493.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.60 : 13,757.97 = 5,493.24 : x
2. Step 2: Convert to fraction form
   9,969.60/13,757.97 = 5,493.24/x
3. Step 3: Cross multiply
   9,969.60x = 13,757.97 × 5,493.24
4. Step 4: Simplify right side
   9,969.60x = 75,575,831.12
5. Step 5: Solve for x
   x = 75,575,831.12/9,969.60
6. Step 6: Final answer
   x = 7,580.63