Finding the Fourth Proportional to 9,137.31, 12,609.39 and 5,158.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137.31 : 12,609.39 = 5,158.59 : x
2. Step 2: Convert to fraction form
   9,137.31/12,609.39 = 5,158.59/x
3. Step 3: Cross multiply
   9,137.31x = 12,609.39 × 5,158.59
4. Step 4: Simplify right side
   9,137.31x = 65,046,647.37
5. Step 5: Solve for x
   x = 65,046,647.37/9,137.31
6. Step 6: Final answer
   x = 7,118.80