Finding the Fourth Proportional to 10,155.78, 15,231.24 and 9,164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.78 : 15,231.24 = 9,164.34 : x
2. Step 2: Convert to fraction form
   10,155.78/15,231.24 = 9,164.34/x
3. Step 3: Cross multiply
   10,155.78x = 15,231.24 × 9,164.34
4. Step 4: Simplify right side
   10,155.78x = 139,584,261.98
5. Step 5: Solve for x
   x = 139,584,261.98/10,155.78
6. Step 6: Final answer
   x = 13,744.32