Finding the Fourth Proportional to 1,009.08, 1,392.56 and 567.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.08 : 1,392.56 = 567.02 : x
2. Step 2: Convert to fraction form
   1,009.08/1,392.56 = 567.02/x
3. Step 3: Cross multiply
   1,009.08x = 1,392.56 × 567.02
4. Step 4: Simplify right side
   1,009.08x = 789,609.37
5. Step 5: Solve for x
   x = 789,609.37/1,009.08
6. Step 6: Final answer
   x = 782.50