Finding the Fourth Proportional to 6,139.18, 9,209.46 and 1,978.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,139.18 : 9,209.46 = 1,978.24 : x
2. Step 2: Convert to fraction form
   6,139.18/9,209.46 = 1,978.24/x
3. Step 3: Cross multiply
   6,139.18x = 9,209.46 × 1,978.24
4. Step 4: Simplify right side
   6,139.18x = 18,218,522.15
5. Step 5: Solve for x
   x = 18,218,522.15/6,139.18
6. Step 6: Final answer
   x = 2,967.58