Finding the Fourth Proportional to 1,009.22, 1,392.71 and 567.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.22 : 1,392.71 = 567.12 : x
2. Step 2: Convert to fraction form
   1,009.22/1,392.71 = 567.12/x
3. Step 3: Cross multiply
   1,009.22x = 1,392.71 × 567.12
4. Step 4: Simplify right side
   1,009.22x = 789,823.90
5. Step 5: Solve for x
   x = 789,823.90/1,009.22
6. Step 6: Final answer
   x = 782.61