Finding the Fourth Proportional to 9,544.88, 13,168.76 and 5,769.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544.88 : 13,168.76 = 5,769.20 : x
2. Step 2: Convert to fraction form
   9,544.88/13,168.76 = 5,769.20/x
3. Step 3: Cross multiply
   9,544.88x = 13,168.76 × 5,769.20
4. Step 4: Simplify right side
   9,544.88x = 75,973,210.19
5. Step 5: Solve for x
   x = 75,973,210.19/9,544.88
6. Step 6: Final answer
   x = 7,959.58