Finding the Fourth Proportional to 1,017.86, 1,404.50 and 598.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.86 : 1,404.50 = 598.28 : x
2. Step 2: Convert to fraction form
   1,017.86/1,404.50 = 598.28/x
3. Step 3: Cross multiply
   1,017.86x = 1,404.50 × 598.28
4. Step 4: Simplify right side
   1,017.86x = 840,274.25
5. Step 5: Solve for x
   x = 840,274.25/1,017.86
6. Step 6: Final answer
   x = 825.53