Finding the Fourth Proportional to 9,119.72, 12,584.86 and 5,141.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.72 : 12,584.86 = 5,141.68 : x
2. Step 2: Convert to fraction form
   9,119.72/12,584.86 = 5,141.68/x
3. Step 3: Cross multiply
   9,119.72x = 12,584.86 × 5,141.68
4. Step 4: Simplify right side
   9,119.72x = 64,707,278.65
5. Step 5: Solve for x
   x = 64,707,278.65/9,119.72
6. Step 6: Final answer
   x = 7,095.31