Finding the Fourth Proportional to 9,119.37, 12,584.66 and 5,141.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.37 : 12,584.66 = 5,141.78 : x
2. Step 2: Convert to fraction form
   9,119.37/12,584.66 = 5,141.78/x
3. Step 3: Cross multiply
   9,119.37x = 12,584.66 × 5,141.78
4. Step 4: Simplify right side
   9,119.37x = 64,707,553.09
5. Step 5: Solve for x
   x = 64,707,553.09/9,119.37
6. Step 6: Final answer
   x = 7,095.62