Finding the Fourth Proportional to 10,055.30, 13,875.71 and 5,578.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.30 : 13,875.71 = 5,578.79 : x
2. Step 2: Convert to fraction form
   10,055.30/13,875.71 = 5,578.79/x
3. Step 3: Cross multiply
   10,055.30x = 13,875.71 × 5,578.79
4. Step 4: Simplify right side
   10,055.30x = 77,409,574.92
5. Step 5: Solve for x
   x = 77,409,574.92/10,055.30
6. Step 6: Final answer
   x = 7,698.39