Finding the Fourth Proportional to 10,055.24, 13,876.13 and 5,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.24 : 13,876.13 = 5,578.88 : x
2. Step 2: Convert to fraction form
   10,055.24/13,876.13 = 5,578.88/x
3. Step 3: Cross multiply
   10,055.24x = 13,876.13 × 5,578.88
4. Step 4: Simplify right side
   10,055.24x = 77,413,166.86
5. Step 5: Solve for x
   x = 77,413,166.86/10,055.24
6. Step 6: Final answer
   x = 7,698.79