Finding the Fourth Proportional to 12,013.74, 16,578.96 and 6,978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   12,013.74 : 16,578.96 = 6,978.18 : x
2. Step 2: Convert to fraction form
   12,013.74/16,578.96 = 6,978.18/x
3. Step 3: Cross multiply
   12,013.74x = 16,578.96 × 6,978.18
4. Step 4: Simplify right side
   12,013.74x = 115,690,967.09
5. Step 5: Solve for x
   x = 115,690,967.09/12,013.74
6. Step 6: Final answer
   x = 9,629.89