Finding the Fourth Proportional to 11,978.98, 17,966.82 and 3,214

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.98 : 17,966.82 = 3,214 : x
2. Step 2: Convert to fraction form
   11,978.98/17,966.82 = 3,214/x
3. Step 3: Cross multiply
   11,978.98x = 17,966.82 × 3,214
4. Step 4: Simplify right side
   11,978.98x = 57,745,359.48
5. Step 5: Solve for x
   x = 57,745,359.48/11,978.98
6. Step 6: Final answer
   x = 4,820.56