Finding the Fourth Proportional to 1,009.12, 1,392.59 and 567.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.12 : 1,392.59 = 567.01 : x
2. Step 2: Convert to fraction form
   1,009.12/1,392.59 = 567.01/x
3. Step 3: Cross multiply
   1,009.12x = 1,392.59 × 567.01
4. Step 4: Simplify right side
   1,009.12x = 789,612.46
5. Step 5: Solve for x
   x = 789,612.46/1,009.12
6. Step 6: Final answer
   x = 782.48