Finding the Fourth Proportional to 10,054.46, 13,875.12 and 5,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.46 : 13,875.12 = 5,578.88 : x
2. Step 2: Convert to fraction form
   10,054.46/13,875.12 = 5,578.88/x
3. Step 3: Cross multiply
   10,054.46x = 13,875.12 × 5,578.88
4. Step 4: Simplify right side
   10,054.46x = 77,407,560.09
5. Step 5: Solve for x
   x = 77,407,560.09/10,054.46
6. Step 6: Final answer
   x = 7,698.83