Finding the Fourth Proportional to 1,009.30, 1,392.82 and 567.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.30 : 1,392.82 = 567.20 : x
2. Step 2: Convert to fraction form
   1,009.30/1,392.82 = 567.20/x
3. Step 3: Cross multiply
   1,009.30x = 1,392.82 × 567.20
4. Step 4: Simplify right side
   1,009.30x = 790,006.48
5. Step 5: Solve for x
   x = 790,006.48/1,009.30
6. Step 6: Final answer
   x = 782.73