Finding the Fourth Proportional to 6,109.74, 9,164.18 and 1,949.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.74 : 9,164.18 = 1,949.58 : x
2. Step 2: Convert to fraction form
   6,109.74/9,164.18 = 1,949.58/x
3. Step 3: Cross multiply
   6,109.74x = 9,164.18 × 1,949.58
4. Step 4: Simplify right side
   6,109.74x = 17,866,302.04
5. Step 5: Solve for x
   x = 17,866,302.04/6,109.74
6. Step 6: Final answer
   x = 2,924.23