Finding the Fourth Proportional to 10,053.93, 13,874.45 and 5,578.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.93 : 13,874.45 = 5,578.09 : x
2. Step 2: Convert to fraction form
   10,053.93/13,874.45 = 5,578.09/x
3. Step 3: Cross multiply
   10,053.93x = 13,874.45 × 5,578.09
4. Step 4: Simplify right side
   10,053.93x = 77,392,930.80
5. Step 5: Solve for x
   x = 77,392,930.80/10,053.93
6. Step 6: Final answer
   x = 7,697.78