Finding the Fourth Proportional to 1,185.72, 1,778.82 and 569.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.72 : 1,778.82 = 569.58 : x
2. Step 2: Convert to fraction form
   1,185.72/1,778.82 = 569.58/x
3. Step 3: Cross multiply
   1,185.72x = 1,778.82 × 569.58
4. Step 4: Simplify right side
   1,185.72x = 1,013,180.30
5. Step 5: Solve for x
   x = 1,013,180.30/1,185.72
6. Step 6: Final answer
   x = 854.49