Finding the Fourth Proportional to 6,109.70, 9,164.38 and 1,949.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.70 : 9,164.38 = 1,949.96 : x
2. Step 2: Convert to fraction form
   6,109.70/9,164.38 = 1,949.96/x
3. Step 3: Cross multiply
   6,109.70x = 9,164.38 × 1,949.96
4. Step 4: Simplify right side
   6,109.70x = 17,870,128.60
5. Step 5: Solve for x
   x = 17,870,128.60/6,109.70
6. Step 6: Final answer
   x = 2,924.88