Finding the Fourth Proportional to 10,054.39, 13,875.14 and 5,578.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.39 : 13,875.14 = 5,578.43 : x
2. Step 2: Convert to fraction form
   10,054.39/13,875.14 = 5,578.43/x
3. Step 3: Cross multiply
   10,054.39x = 13,875.14 × 5,578.43
4. Step 4: Simplify right side
   10,054.39x = 77,401,469.34
5. Step 5: Solve for x
   x = 77,401,469.34/10,054.39
6. Step 6: Final answer
   x = 7,698.28