Finding the Fourth Proportional to 10,054.41, 13,875.21 and 5,578.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.41 : 13,875.21 = 5,578.22 : x
2. Step 2: Convert to fraction form
   10,054.41/13,875.21 = 5,578.22/x
3. Step 3: Cross multiply
   10,054.41x = 13,875.21 × 5,578.22
4. Step 4: Simplify right side
   10,054.41x = 77,398,904.55
5. Step 5: Solve for x
   x = 77,398,904.55/10,054.41
6. Step 6: Final answer
   x = 7,698.01