Finding the Fourth Proportional to 9,137.51, 12,609.06 and 5,159.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137.51 : 12,609.06 = 5,159.02 : x
2. Step 2: Convert to fraction form
   9,137.51/12,609.06 = 5,159.02/x
3. Step 3: Cross multiply
   9,137.51x = 12,609.06 × 5,159.02
4. Step 4: Simplify right side
   9,137.51x = 65,050,392.72
5. Step 5: Solve for x
   x = 65,050,392.72/9,137.51
6. Step 6: Final answer
   x = 7,119.05