Finding the Fourth Proportional to 1,185.69, 1,776.14 and 567.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.69 : 1,776.14 = 567.60 : x
2. Step 2: Convert to fraction form
   1,185.69/1,776.14 = 567.60/x
3. Step 3: Cross multiply
   1,185.69x = 1,776.14 × 567.60
4. Step 4: Simplify right side
   1,185.69x = 1,008,137.06
5. Step 5: Solve for x
   x = 1,008,137.06/1,185.69
6. Step 6: Final answer
   x = 850.25