Finding the Fourth Proportional to 9,516.98, 13,133.54 and 5,739.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.98 : 13,133.54 = 5,739.42 : x
2. Step 2: Convert to fraction form
   9,516.98/13,133.54 = 5,739.42/x
3. Step 3: Cross multiply
   9,516.98x = 13,133.54 × 5,739.42
4. Step 4: Simplify right side
   9,516.98x = 75,378,902.15
5. Step 5: Solve for x
   x = 75,378,902.15/9,516.98
6. Step 6: Final answer
   x = 7,920.46