Finding the Fourth Proportional to 10,055.39, 13,876.06 and 5,578.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.39 : 13,876.06 = 5,578.82 : x
2. Step 2: Convert to fraction form
   10,055.39/13,876.06 = 5,578.82/x
3. Step 3: Cross multiply
   10,055.39x = 13,876.06 × 5,578.82
4. Step 4: Simplify right side
   10,055.39x = 77,412,098.27
5. Step 5: Solve for x
   x = 77,412,098.27/10,055.39
6. Step 6: Final answer
   x = 7,698.57