Finding the Fourth Proportional to 9,138.75, 12,612.06 and 5,158.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138.75 : 12,612.06 = 5,158.41 : x
2. Step 2: Convert to fraction form
   9,138.75/12,612.06 = 5,158.41/x
3. Step 3: Cross multiply
   9,138.75x = 12,612.06 × 5,158.41
4. Step 4: Simplify right side
   9,138.75x = 65,058,176.42
5. Step 5: Solve for x
   x = 65,058,176.42/9,138.75
6. Step 6: Final answer
   x = 7,118.94