Finding the Fourth Proportional to 10,055.34, 13,876.39 and 5,579.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.34 : 13,876.39 = 5,579.09 : x
2. Step 2: Convert to fraction form
   10,055.34/13,876.39 = 5,579.09/x
3. Step 3: Cross multiply
   10,055.34x = 13,876.39 × 5,579.09
4. Step 4: Simplify right side
   10,055.34x = 77,417,680.68
5. Step 5: Solve for x
   x = 77,417,680.68/10,055.34
6. Step 6: Final answer
   x = 7,699.16