Finding the Fourth Proportional to 2,010.50, 2,774.82 and 1,264.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010.50 : 2,774.82 = 1,264.57 : x
2. Step 2: Convert to fraction form
   2,010.50/2,774.82 = 1,264.57/x
3. Step 3: Cross multiply
   2,010.50x = 2,774.82 × 1,264.57
4. Step 4: Simplify right side
   2,010.50x = 3,508,954.13
5. Step 5: Solve for x
   x = 3,508,954.13/2,010.50
6. Step 6: Final answer
   x = 1,745.31