Finding the Fourth Proportional to 1,040.16, 1,435.42 and 598.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040.16 : 1,435.42 = 598.05 : x
2. Step 2: Convert to fraction form
   1,040.16/1,435.42 = 598.05/x
3. Step 3: Cross multiply
   1,040.16x = 1,435.42 × 598.05
4. Step 4: Simplify right side
   1,040.16x = 858,452.93
5. Step 5: Solve for x
   x = 858,452.93/1,040.16
6. Step 6: Final answer
   x = 825.31