Finding the Fourth Proportional to 9,138.04, 12,610.82 and 5,159.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138.04 : 12,610.82 = 5,159.86 : x
2. Step 2: Convert to fraction form
   9,138.04/12,610.82 = 5,159.86/x
3. Step 3: Cross multiply
   9,138.04x = 12,610.82 × 5,159.86
4. Step 4: Simplify right side
   9,138.04x = 65,070,065.69
5. Step 5: Solve for x
   x = 65,070,065.69/9,138.04
6. Step 6: Final answer
   x = 7,120.79