Finding the Fourth Proportional to 11,013.76, 15,198.84 and 5,978

Step by Step Solution

1. Step 1: Write the proportion equation
   11,013.76 : 15,198.84 = 5,978 : x
2. Step 2: Convert to fraction form
   11,013.76/15,198.84 = 5,978/x
3. Step 3: Cross multiply
   11,013.76x = 15,198.84 × 5,978
4. Step 4: Simplify right side
   11,013.76x = 90,858,665.52
5. Step 5: Solve for x
   x = 90,858,665.52/11,013.76
6. Step 6: Final answer
   x = 8,249.56