Finding the Fourth Proportional to 1,009.21, 1,392.77 and 567.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.21 : 1,392.77 = 567.10 : x
2. Step 2: Convert to fraction form
   1,009.21/1,392.77 = 567.10/x
3. Step 3: Cross multiply
   1,009.21x = 1,392.77 × 567.10
4. Step 4: Simplify right side
   1,009.21x = 789,839.87
5. Step 5: Solve for x
   x = 789,839.87/1,009.21
6. Step 6: Final answer
   x = 782.63