Finding the Fourth Proportional to 1,017.69, 1,404.30 and 575.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.69 : 1,404.30 = 575.76 : x
2. Step 2: Convert to fraction form
   1,017.69/1,404.30 = 575.76/x
3. Step 3: Cross multiply
   1,017.69x = 1,404.30 × 575.76
4. Step 4: Simplify right side
   1,017.69x = 808,539.77
5. Step 5: Solve for x
   x = 808,539.77/1,017.69
6. Step 6: Final answer
   x = 794.49