Finding the Fourth Proportional to 10,106, 15,139.20 and 5,161.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 15,139.20 = 5,161.04 : x
2. Step 2: Convert to fraction form
   10,106/15,139.20 = 5,161.04/x
3. Step 3: Cross multiply
   10,106x = 15,139.20 × 5,161.04
4. Step 4: Simplify right side
   10,106x = 78,134,016.77
5. Step 5: Solve for x
   x = 78,134,016.77/10,106
6. Step 6: Final answer
   x = 7,731.45