Finding the Fourth Proportional to 1,016.07, 1,401.80 and 596.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.07 : 1,401.80 = 596.27 : x
2. Step 2: Convert to fraction form
   1,016.07/1,401.80 = 596.27/x
3. Step 3: Cross multiply
   1,016.07x = 1,401.80 × 596.27
4. Step 4: Simplify right side
   1,016.07x = 835,841.30
5. Step 5: Solve for x
   x = 835,841.30/1,016.07
6. Step 6: Final answer
   x = 822.63