Finding the Fourth Proportional to 1,017.64, 1,404.27 and 575.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.64 : 1,404.27 = 575.58 : x
2. Step 2: Convert to fraction form
   1,017.64/1,404.27 = 575.58/x
3. Step 3: Cross multiply
   1,017.64x = 1,404.27 × 575.58
4. Step 4: Simplify right side
   1,017.64x = 808,269.73
5. Step 5: Solve for x
   x = 808,269.73/1,017.64
6. Step 6: Final answer
   x = 794.26