Finding the Fourth Proportional to 1,016.34, 1,402.74 and 596.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.34 : 1,402.74 = 596.88 : x
2. Step 2: Convert to fraction form
   1,016.34/1,402.74 = 596.88/x
3. Step 3: Cross multiply
   1,016.34x = 1,402.74 × 596.88
4. Step 4: Simplify right side
   1,016.34x = 837,267.45
5. Step 5: Solve for x
   x = 837,267.45/1,016.34
6. Step 6: Final answer
   x = 823.81