Finding the Fourth Proportional to 1,016.05, 1,402.16 and 596.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.05 : 1,402.16 = 596.65 : x
2. Step 2: Convert to fraction form
   1,016.05/1,402.16 = 596.65/x
3. Step 3: Cross multiply
   1,016.05x = 1,402.16 × 596.65
4. Step 4: Simplify right side
   1,016.05x = 836,598.76
5. Step 5: Solve for x
   x = 836,598.76/1,016.05
6. Step 6: Final answer
   x = 823.38