Finding the Fourth Proportional to 9,543.69, 13,171.68 and 5,767.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.69 : 13,171.68 = 5,767.40 : x
2. Step 2: Convert to fraction form
   9,543.69/13,171.68 = 5,767.40/x
3. Step 3: Cross multiply
   9,543.69x = 13,171.68 × 5,767.40
4. Step 4: Simplify right side
   9,543.69x = 75,966,380.16
5. Step 5: Solve for x
   x = 75,966,380.16/9,543.69
6. Step 6: Final answer
   x = 7,959.85