Finding the Fourth Proportional to 1,016.69, 1,402.98 and 596.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.69 : 1,402.98 = 596.98 : x
2. Step 2: Convert to fraction form
   1,016.69/1,402.98 = 596.98/x
3. Step 3: Cross multiply
   1,016.69x = 1,402.98 × 596.98
4. Step 4: Simplify right side
   1,016.69x = 837,551.00
5. Step 5: Solve for x
   x = 837,551.00/1,016.69
6. Step 6: Final answer
   x = 823.80