Finding the Fourth Proportional to 1,009.24, 1,392.82 and 567.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.24 : 1,392.82 = 567.23 : x
2. Step 2: Convert to fraction form
   1,009.24/1,392.82 = 567.23/x
3. Step 3: Cross multiply
   1,009.24x = 1,392.82 × 567.23
4. Step 4: Simplify right side
   1,009.24x = 790,040.91
5. Step 5: Solve for x
   x = 790,040.91/1,009.24
6. Step 6: Final answer
   x = 782.81