Finding the Fourth Proportional to 9,543.48, 13,170.15 and 5,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.48 : 13,170.15 = 5,766.63 : x
2. Step 2: Convert to fraction form
   9,543.48/13,170.15 = 5,766.63/x
3. Step 3: Cross multiply
   9,543.48x = 13,170.15 × 5,766.63
4. Step 4: Simplify right side
   9,543.48x = 75,947,382.09
5. Step 5: Solve for x
   x = 75,947,382.09/9,543.48
6. Step 6: Final answer
   x = 7,958.04