Finding the Fourth Proportional to 6,109.63, 9,164.49 and 1,949.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.63 : 9,164.49 = 1,949.67 : x
2. Step 2: Convert to fraction form
   6,109.63/9,164.49 = 1,949.67/x
3. Step 3: Cross multiply
   6,109.63x = 9,164.49 × 1,949.67
4. Step 4: Simplify right side
   6,109.63x = 17,867,731.22
5. Step 5: Solve for x
   x = 17,867,731.22/6,109.63
6. Step 6: Final answer
   x = 2,924.52