Finding the Fourth Proportional to 10,054.48, 13,875.94 and 5,578.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.48 : 13,875.94 = 5,578.20 : x
2. Step 2: Convert to fraction form
   10,054.48/13,875.94 = 5,578.20/x
3. Step 3: Cross multiply
   10,054.48x = 13,875.94 × 5,578.20
4. Step 4: Simplify right side
   10,054.48x = 77,402,768.51
5. Step 5: Solve for x
   x = 77,402,768.51/10,054.48
6. Step 6: Final answer
   x = 7,698.34