Finding the Fourth Proportional to 10,105.98, 15,161.13 and 7,641.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.98 : 15,161.13 = 7,641.78 : x
2. Step 2: Convert to fraction form
   10,105.98/15,161.13 = 7,641.78/x
3. Step 3: Cross multiply
   10,105.98x = 15,161.13 × 7,641.78
4. Step 4: Simplify right side
   10,105.98x = 115,858,020.01
5. Step 5: Solve for x
   x = 115,858,020.01/10,105.98
6. Step 6: Final answer
   x = 11,464.30