Finding the Fourth Proportional to 1,017.74, 1,404.52 and 575.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.74 : 1,404.52 = 575.64 : x
2. Step 2: Convert to fraction form
   1,017.74/1,404.52 = 575.64/x
3. Step 3: Cross multiply
   1,017.74x = 1,404.52 × 575.64
4. Step 4: Simplify right side
   1,017.74x = 808,497.89
5. Step 5: Solve for x
   x = 808,497.89/1,017.74
6. Step 6: Final answer
   x = 794.41