Finding the Fourth Proportional to 9,540.18, 13,165.74 and 5,764.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.18 : 13,165.74 = 5,764.57 : x
2. Step 2: Convert to fraction form
   9,540.18/13,165.74 = 5,764.57/x
3. Step 3: Cross multiply
   9,540.18x = 13,165.74 × 5,764.57
4. Step 4: Simplify right side
   9,540.18x = 75,894,796.92
5. Step 5: Solve for x
   x = 75,894,796.92/9,540.18
6. Step 6: Final answer
   x = 7,955.28