Finding the Fourth Proportional to 2,109, 2,911.23 and 1,410.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109 : 2,911.23 = 1,410.78 : x
2. Step 2: Convert to fraction form
   2,109/2,911.23 = 1,410.78/x
3. Step 3: Cross multiply
   2,109x = 2,911.23 × 1,410.78
4. Step 4: Simplify right side
   2,109x = 4,107,105.06
5. Step 5: Solve for x
   x = 4,107,105.06/2,109
6. Step 6: Final answer
   x = 1,947.42