Finding the Fourth Proportional to 9,543.82, 13,170.62 and 5,766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.82 : 13,170.62 = 5,766.47 : x
2. Step 2: Convert to fraction form
   9,543.82/13,170.62 = 5,766.47/x
3. Step 3: Cross multiply
   9,543.82x = 13,170.62 × 5,766.47
4. Step 4: Simplify right side
   9,543.82x = 75,947,956.28
5. Step 5: Solve for x
   x = 75,947,956.28/9,543.82
6. Step 6: Final answer
   x = 7,957.82