Finding the Fourth Proportional to 1,017.63, 1,404.56 and 598.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.63 : 1,404.56 = 598.01 : x
2. Step 2: Convert to fraction form
   1,017.63/1,404.56 = 598.01/x
3. Step 3: Cross multiply
   1,017.63x = 1,404.56 × 598.01
4. Step 4: Simplify right side
   1,017.63x = 839,935.40
5. Step 5: Solve for x
   x = 839,935.40/1,017.63
6. Step 6: Final answer
   x = 825.38