Finding the Fourth Proportional to 9,117.27, 12,582.81 and 5,578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.27 : 12,582.81 = 5,578.38 : x
2. Step 2: Convert to fraction form
   9,117.27/12,582.81 = 5,578.38/x
3. Step 3: Cross multiply
   9,117.27x = 12,582.81 × 5,578.38
4. Step 4: Simplify right side
   9,117.27x = 70,191,695.65
5. Step 5: Solve for x
   x = 70,191,695.65/9,117.27
6. Step 6: Final answer
   x = 7,698.76