Finding the Fourth Proportional to 1,185.02, 1,777.18 and 567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.02 : 1,777.18 = 567.50 : x
2. Step 2: Convert to fraction form
   1,185.02/1,777.18 = 567.50/x
3. Step 3: Cross multiply
   1,185.02x = 1,777.18 × 567.50
4. Step 4: Simplify right side
   1,185.02x = 1,008,549.65
5. Step 5: Solve for x
   x = 1,008,549.65/1,185.02
6. Step 6: Final answer
   x = 851.08