Finding the Fourth Proportional to 1,012.25, 1,397.27 and 598.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.25 : 1,397.27 = 598.25 : x
2. Step 2: Convert to fraction form
   1,012.25/1,397.27 = 598.25/x
3. Step 3: Cross multiply
   1,012.25x = 1,397.27 × 598.25
4. Step 4: Simplify right side
   1,012.25x = 835,916.78
5. Step 5: Solve for x
   x = 835,916.78/1,012.25
6. Step 6: Final answer
   x = 825.80