Finding the Fourth Proportional to 7,978.86, 11,974.47 and 5,517.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.86 : 11,974.47 = 5,517.27 : x
2. Step 2: Convert to fraction form
   7,978.86/11,974.47 = 5,517.27/x
3. Step 3: Cross multiply
   7,978.86x = 11,974.47 × 5,517.27
4. Step 4: Simplify right side
   7,978.86x = 66,066,384.10
5. Step 5: Solve for x
   x = 66,066,384.10/7,978.86
6. Step 6: Final answer
   x = 8,280.18