Finding the Fourth Proportional to 1,017.90, 1,404.81 and 598.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.90 : 1,404.81 = 598.59 : x
2. Step 2: Convert to fraction form
   1,017.90/1,404.81 = 598.59/x
3. Step 3: Cross multiply
   1,017.90x = 1,404.81 × 598.59
4. Step 4: Simplify right side
   1,017.90x = 840,905.22
5. Step 5: Solve for x
   x = 840,905.22/1,017.90
6. Step 6: Final answer
   x = 826.12