Finding the Fourth Proportional to 1,768.50, 2,648.49 and 1,026.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,768.50 : 2,648.49 = 1,026.54 : x
2. Step 2: Convert to fraction form
   1,768.50/2,648.49 = 1,026.54/x
3. Step 3: Cross multiply
   1,768.50x = 2,648.49 × 1,026.54
4. Step 4: Simplify right side
   1,768.50x = 2,718,780.92
5. Step 5: Solve for x
   x = 2,718,780.92/1,768.50
6. Step 6: Final answer
   x = 1,537.34