Finding the Fourth Proportional to 10,054.96, 13,875.86 and 5,578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.96 : 13,875.86 = 5,578.80 : x
2. Step 2: Convert to fraction form
   10,054.96/13,875.86 = 5,578.80/x
3. Step 3: Cross multiply
   10,054.96x = 13,875.86 × 5,578.80
4. Step 4: Simplify right side
   10,054.96x = 77,410,647.77
5. Step 5: Solve for x
   x = 77,410,647.77/10,054.96
6. Step 6: Final answer
   x = 7,698.75