Finding the Fourth Proportional to 9,549.24, 14,308.46 and 5,168.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.24 : 14,308.46 = 5,168.76 : x
2. Step 2: Convert to fraction form
   9,549.24/14,308.46 = 5,168.76/x
3. Step 3: Cross multiply
   9,549.24x = 14,308.46 × 5,168.76
4. Step 4: Simplify right side
   9,549.24x = 73,956,995.71
5. Step 5: Solve for x
   x = 73,956,995.71/9,549.24
6. Step 6: Final answer
   x = 7,744.80