Finding the Fourth Proportional to 9,540.47, 13,166.12 and 5,764.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.47 : 13,166.12 = 5,764.31 : x
2. Step 2: Convert to fraction form
   9,540.47/13,166.12 = 5,764.31/x
3. Step 3: Cross multiply
   9,540.47x = 13,166.12 × 5,764.31
4. Step 4: Simplify right side
   9,540.47x = 75,893,597.18
5. Step 5: Solve for x
   x = 75,893,597.18/9,540.47
6. Step 6: Final answer
   x = 7,954.91