Finding the Fourth Proportional to 1,009.16, 1,392.69 and 567.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.16 : 1,392.69 = 567.20 : x
2. Step 2: Convert to fraction form
   1,009.16/1,392.69 = 567.20/x
3. Step 3: Cross multiply
   1,009.16x = 1,392.69 × 567.20
4. Step 4: Simplify right side
   1,009.16x = 789,939.38
5. Step 5: Solve for x
   x = 789,939.38/1,009.16
6. Step 6: Final answer
   x = 782.77