Finding the Fourth Proportional to 1,896.56, 2,616.27 and 1,266.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,896.56 : 2,616.27 = 1,266.89 : x
2. Step 2: Convert to fraction form
   1,896.56/2,616.27 = 1,266.89/x
3. Step 3: Cross multiply
   1,896.56x = 2,616.27 × 1,266.89
4. Step 4: Simplify right side
   1,896.56x = 3,314,513.22
5. Step 5: Solve for x
   x = 3,314,513.22/1,896.56
6. Step 6: Final answer
   x = 1,747.65