Finding the Fourth Proportional to 2,577.74, 3,863.98 and 1,017.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.74 : 3,863.98 = 1,017.12 : x
2. Step 2: Convert to fraction form
   2,577.74/3,863.98 = 1,017.12/x
3. Step 3: Cross multiply
   2,577.74x = 3,863.98 × 1,017.12
4. Step 4: Simplify right side
   2,577.74x = 3,930,131.34
5. Step 5: Solve for x
   x = 3,930,131.34/2,577.74
6. Step 6: Final answer
   x = 1,524.64