Finding the Fourth Proportional to 9,543.98, 13,168.96 and 5,764.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.98 : 13,168.96 = 5,764.61 : x
2. Step 2: Convert to fraction form
   9,543.98/13,168.96 = 5,764.61/x
3. Step 3: Cross multiply
   9,543.98x = 13,168.96 × 5,764.61
4. Step 4: Simplify right side
   9,543.98x = 75,913,937.02
5. Step 5: Solve for x
   x = 75,913,937.02/9,543.98
6. Step 6: Final answer
   x = 7,954.12