Finding the Fourth Proportional to 1,016.18, 1,523.03 and 577.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.18 : 1,523.03 = 577.80 : x
2. Step 2: Convert to fraction form
   1,016.18/1,523.03 = 577.80/x
3. Step 3: Cross multiply
   1,016.18x = 1,523.03 × 577.80
4. Step 4: Simplify right side
   1,016.18x = 880,003.85
5. Step 5: Solve for x
   x = 880,003.85/1,016.18
6. Step 6: Final answer
   x = 865.99