Finding the Fourth Proportional to 1,006.32, 1,388.72 and 564.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.32 : 1,388.72 = 564.24 : x
2. Step 2: Convert to fraction form
   1,006.32/1,388.72 = 564.24/x
3. Step 3: Cross multiply
   1,006.32x = 1,388.72 × 564.24
4. Step 4: Simplify right side
   1,006.32x = 783,571.37
5. Step 5: Solve for x
   x = 783,571.37/1,006.32
6. Step 6: Final answer
   x = 778.65