Finding the Fourth Proportional to 1,017.65, 1,404.34 and 569.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.65 : 1,404.34 = 569.49 : x
2. Step 2: Convert to fraction form
   1,017.65/1,404.34 = 569.49/x
3. Step 3: Cross multiply
   1,017.65x = 1,404.34 × 569.49
4. Step 4: Simplify right side
   1,017.65x = 799,760.77
5. Step 5: Solve for x
   x = 799,760.77/1,017.65
6. Step 6: Final answer
   x = 785.89