Finding the Fourth Proportional to 2,106, 2,896.56 and 1,843.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 2,896.56 = 1,843.56 : x
2. Step 2: Convert to fraction form
   2,106/2,896.56 = 1,843.56/x
3. Step 3: Cross multiply
   2,106x = 2,896.56 × 1,843.56
4. Step 4: Simplify right side
   2,106x = 5,339,982.15
5. Step 5: Solve for x
   x = 5,339,982.15/2,106
6. Step 6: Final answer
   x = 2,535.60