Finding the Fourth Proportional to 1,016.76, 1,402.78 and 597.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.76 : 1,402.78 = 597.05 : x
2. Step 2: Convert to fraction form
   1,016.76/1,402.78 = 597.05/x
3. Step 3: Cross multiply
   1,016.76x = 1,402.78 × 597.05
4. Step 4: Simplify right side
   1,016.76x = 837,529.80
5. Step 5: Solve for x
   x = 837,529.80/1,016.76
6. Step 6: Final answer
   x = 823.72