Finding the Fourth Proportional to 10,106.59, 15,147.23 and 5,414.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.59 : 15,147.23 = 5,414.97 : x
2. Step 2: Convert to fraction form
   10,106.59/15,147.23 = 5,414.97/x
3. Step 3: Cross multiply
   10,106.59x = 15,147.23 × 5,414.97
4. Step 4: Simplify right side
   10,106.59x = 82,021,796.03
5. Step 5: Solve for x
   x = 82,021,796.03/10,106.59
6. Step 6: Final answer
   x = 8,115.67