Finding the Fourth Proportional to 10,116.50, 13,961.02 and 5,579.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.50 : 13,961.02 = 5,579.25 : x
2. Step 2: Convert to fraction form
   10,116.50/13,961.02 = 5,579.25/x
3. Step 3: Cross multiply
   10,116.50x = 13,961.02 × 5,579.25
4. Step 4: Simplify right side
   10,116.50x = 77,891,993.33
5. Step 5: Solve for x
   x = 77,891,993.33/10,116.50
6. Step 6: Final answer
   x = 7,699.50