Finding the Fourth Proportional to 9,119.28, 12,584.85 and 5,140.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.28 : 12,584.85 = 5,140.15 : x
2. Step 2: Convert to fraction form
   9,119.28/12,584.85 = 5,140.15/x
3. Step 3: Cross multiply
   9,119.28x = 12,584.85 × 5,140.15
4. Step 4: Simplify right side
   9,119.28x = 64,688,016.73
5. Step 5: Solve for x
   x = 64,688,016.73/9,119.28
6. Step 6: Final answer
   x = 7,093.54