Finding the Fourth Proportional to 9,516.16, 13,138.56 and 5,796.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.16 : 13,138.56 = 5,796.48 : x
2. Step 2: Convert to fraction form
   9,516.16/13,138.56 = 5,796.48/x
3. Step 3: Cross multiply
   9,516.16x = 13,138.56 × 5,796.48
4. Step 4: Simplify right side
   9,516.16x = 76,157,400.27
5. Step 5: Solve for x
   x = 76,157,400.27/9,516.16
6. Step 6: Final answer
   x = 8,002.96