Finding the Fourth Proportional to 6,141.88, 9,211.56 and 5,108.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141.88 : 9,211.56 = 5,108.54 : x
2. Step 2: Convert to fraction form
   6,141.88/9,211.56 = 5,108.54/x
3. Step 3: Cross multiply
   6,141.88x = 9,211.56 × 5,108.54
4. Step 4: Simplify right side
   6,141.88x = 47,057,622.72
5. Step 5: Solve for x
   x = 47,057,622.72/6,141.88
6. Step 6: Final answer
   x = 7,661.76