Finding the Fourth Proportional to 1,016.32, 1,402.64 and 596.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.32 : 1,402.64 = 596.83 : x
2. Step 2: Convert to fraction form
   1,016.32/1,402.64 = 596.83/x
3. Step 3: Cross multiply
   1,016.32x = 1,402.64 × 596.83
4. Step 4: Simplify right side
   1,016.32x = 837,137.63
5. Step 5: Solve for x
   x = 837,137.63/1,016.32
6. Step 6: Final answer
   x = 823.69