Finding the Fourth Proportional to 1,016.15, 1,522.97 and 577.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.15 : 1,522.97 = 577.76 : x
2. Step 2: Convert to fraction form
   1,016.15/1,522.97 = 577.76/x
3. Step 3: Cross multiply
   1,016.15x = 1,522.97 × 577.76
4. Step 4: Simplify right side
   1,016.15x = 879,916.40
5. Step 5: Solve for x
   x = 879,916.40/1,016.15
6. Step 6: Final answer
   x = 865.94