Finding the Fourth Proportional to 2,109.40, 3,164.14 and 1,243.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.40 : 3,164.14 = 1,243.08 : x
2. Step 2: Convert to fraction form
   2,109.40/3,164.14 = 1,243.08/x
3. Step 3: Cross multiply
   2,109.40x = 3,164.14 × 1,243.08
4. Step 4: Simplify right side
   2,109.40x = 3,933,279.15
5. Step 5: Solve for x
   x = 3,933,279.15/2,109.40
6. Step 6: Final answer
   x = 1,864.64