Finding the Fourth Proportional to 11,013.81, 15,199.17 and 5,978.08

Step by Step Solution

1. Step 1: Write the proportion equation
   11,013.81 : 15,199.17 = 5,978.08 : x
2. Step 2: Convert to fraction form
   11,013.81/15,199.17 = 5,978.08/x
3. Step 3: Cross multiply
   11,013.81x = 15,199.17 × 5,978.08
4. Step 4: Simplify right side
   11,013.81x = 90,861,748.31
5. Step 5: Solve for x
   x = 90,861,748.31/11,013.81
6. Step 6: Final answer
   x = 8,249.80