Finding the Fourth Proportional to 1,016.96, 1,403.69 and 597.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.96 : 1,403.69 = 597.32 : x
2. Step 2: Convert to fraction form
   1,016.96/1,403.69 = 597.32/x
3. Step 3: Cross multiply
   1,016.96x = 1,403.69 × 597.32
4. Step 4: Simplify right side
   1,016.96x = 838,447.37
5. Step 5: Solve for x
   x = 838,447.37/1,016.96
6. Step 6: Final answer
   x = 824.47