Finding the Fourth Proportional to 1,016.98, 1,524.40 and 577.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.98 : 1,524.40 = 577.69 : x
2. Step 2: Convert to fraction form
   1,016.98/1,524.40 = 577.69/x
3. Step 3: Cross multiply
   1,016.98x = 1,524.40 × 577.69
4. Step 4: Simplify right side
   1,016.98x = 880,625.38
5. Step 5: Solve for x
   x = 880,625.38/1,016.98
6. Step 6: Final answer
   x = 865.92