Finding the Fourth Proportional to 10,105.62, 15,130.44 and 5,164.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.62 : 15,130.44 = 5,164.62 : x
2. Step 2: Convert to fraction form
   10,105.62/15,130.44 = 5,164.62/x
3. Step 3: Cross multiply
   10,105.62x = 15,130.44 × 5,164.62
4. Step 4: Simplify right side
   10,105.62x = 78,142,973.03
5. Step 5: Solve for x
   x = 78,142,973.03/10,105.62
6. Step 6: Final answer
   x = 7,732.63