Finding the Fourth Proportional to 9,543.12, 13,166.46 and 5,767.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.12 : 13,166.46 = 5,767.71 : x
2. Step 2: Convert to fraction form
   9,543.12/13,166.46 = 5,767.71/x
3. Step 3: Cross multiply
   9,543.12x = 13,166.46 × 5,767.71
4. Step 4: Simplify right side
   9,543.12x = 75,940,323.01
5. Step 5: Solve for x
   x = 75,940,323.01/9,543.12
6. Step 6: Final answer
   x = 7,957.60