Finding the Fourth Proportional to 10,055.25, 13,876.25 and 5,579.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.25 : 13,876.25 = 5,579.67 : x
2. Step 2: Convert to fraction form
   10,055.25/13,876.25 = 5,579.67/x
3. Step 3: Cross multiply
   10,055.25x = 13,876.25 × 5,579.67
4. Step 4: Simplify right side
   10,055.25x = 77,424,867.94
5. Step 5: Solve for x
   x = 77,424,867.94/10,055.25
6. Step 6: Final answer
   x = 7,699.94