Finding the Fourth Proportional to 1,896.90, 2,838.06 and 1,412.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,896.90 : 2,838.06 = 1,412.12 : x
2. Step 2: Convert to fraction form
   1,896.90/2,838.06 = 1,412.12/x
3. Step 3: Cross multiply
   1,896.90x = 2,838.06 × 1,412.12
4. Step 4: Simplify right side
   1,896.90x = 4,007,667.10
5. Step 5: Solve for x
   x = 4,007,667.10/1,896.90
6. Step 6: Final answer
   x = 2,112.75