Finding the Fourth Proportional to 1,009.12, 1,392.61 and 567.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.12 : 1,392.61 = 567.00 : x
2. Step 2: Convert to fraction form
   1,009.12/1,392.61 = 567.00/x
3. Step 3: Cross multiply
   1,009.12x = 1,392.61 × 567.00
4. Step 4: Simplify right side
   1,009.12x = 789,602.91
5. Step 5: Solve for x
   x = 789,602.91/1,009.12
6. Step 6: Final answer
   x = 782.47