Finding the Fourth Proportional to 9,138.93, 12,610.82 and 5,159.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138.93 : 12,610.82 = 5,159.27 : x
2. Step 2: Convert to fraction form
   9,138.93/12,610.82 = 5,159.27/x
3. Step 3: Cross multiply
   9,138.93x = 12,610.82 × 5,159.27
4. Step 4: Simplify right side
   9,138.93x = 65,062,625.30
5. Step 5: Solve for x
   x = 65,062,625.30/9,138.93
6. Step 6: Final answer
   x = 7,119.28