Finding the Fourth Proportional to 1,017.75, 1,404.32 and 598.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.75 : 1,404.32 = 598.07 : x
2. Step 2: Convert to fraction form
   1,017.75/1,404.32 = 598.07/x
3. Step 3: Cross multiply
   1,017.75x = 1,404.32 × 598.07
4. Step 4: Simplify right side
   1,017.75x = 839,874.64
5. Step 5: Solve for x
   x = 839,874.64/1,017.75
6. Step 6: Final answer
   x = 825.23