Finding the Fourth Proportional to 1,017.21, 1,404.06 and 597.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.21 : 1,404.06 = 597.66 : x
2. Step 2: Convert to fraction form
   1,017.21/1,404.06 = 597.66/x
3. Step 3: Cross multiply
   1,017.21x = 1,404.06 × 597.66
4. Step 4: Simplify right side
   1,017.21x = 839,150.50
5. Step 5: Solve for x
   x = 839,150.50/1,017.21
6. Step 6: Final answer
   x = 824.95