Finding the Fourth Proportional to 1,016.58, 1,402.79 and 596.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.58 : 1,402.79 = 596.89 : x
2. Step 2: Convert to fraction form
   1,016.58/1,402.79 = 596.89/x
3. Step 3: Cross multiply
   1,016.58x = 1,402.79 × 596.89
4. Step 4: Simplify right side
   1,016.58x = 837,304.31
5. Step 5: Solve for x
   x = 837,304.31/1,016.58
6. Step 6: Final answer
   x = 823.65