Finding the Fourth Proportional to 11,984.86, 17,977.14 and 3,665.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,984.86 : 17,977.14 = 3,665.15 : x
2. Step 2: Convert to fraction form
   11,984.86/17,977.14 = 3,665.15/x
3. Step 3: Cross multiply
   11,984.86x = 17,977.14 × 3,665.15
4. Step 4: Simplify right side
   11,984.86x = 65,888,892.20
5. Step 5: Solve for x
   x = 65,888,892.20/11,984.86
6. Step 6: Final answer
   x = 5,497.68