Finding the Fourth Proportional to 1,016.55, 1,523.61 and 581.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.55 : 1,523.61 = 581.58 : x
2. Step 2: Convert to fraction form
   1,016.55/1,523.61 = 581.58/x
3. Step 3: Cross multiply
   1,016.55x = 1,523.61 × 581.58
4. Step 4: Simplify right side
   1,016.55x = 886,101.10
5. Step 5: Solve for x
   x = 886,101.10/1,016.55
6. Step 6: Final answer
   x = 871.67