Finding the Fourth Proportional to 10,055.27, 13,875.80 and 5,578.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.27 : 13,875.80 = 5,578.94 : x
2. Step 2: Convert to fraction form
   10,055.27/13,875.80 = 5,578.94/x
3. Step 3: Cross multiply
   10,055.27x = 13,875.80 × 5,578.94
4. Step 4: Simplify right side
   10,055.27x = 77,412,158.38
5. Step 5: Solve for x
   x = 77,412,158.38/10,055.27
6. Step 6: Final answer
   x = 7,698.67