Finding the Fourth Proportional to 11,978.68, 17,966.72 and 3,214.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.68 : 17,966.72 = 3,214.48 : x
2. Step 2: Convert to fraction form
   11,978.68/17,966.72 = 3,214.48/x
3. Step 3: Cross multiply
   11,978.68x = 17,966.72 × 3,214.48
4. Step 4: Simplify right side
   11,978.68x = 57,753,662.11
5. Step 5: Solve for x
   x = 57,753,662.11/11,978.68
6. Step 6: Final answer
   x = 4,821.37