Finding the Fourth Proportional to 1,017.49, 1,404.16 and 575.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.49 : 1,404.16 = 575.38 : x
2. Step 2: Convert to fraction form
   1,017.49/1,404.16 = 575.38/x
3. Step 3: Cross multiply
   1,017.49x = 1,404.16 × 575.38
4. Step 4: Simplify right side
   1,017.49x = 807,925.42
5. Step 5: Solve for x
   x = 807,925.42/1,017.49
6. Step 6: Final answer
   x = 794.04