Finding the Fourth Proportional to 1,006.31, 1,388.71 and 564.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.31 : 1,388.71 = 564.32 : x
2. Step 2: Convert to fraction form
   1,006.31/1,388.71 = 564.32/x
3. Step 3: Cross multiply
   1,006.31x = 1,388.71 × 564.32
4. Step 4: Simplify right side
   1,006.31x = 783,676.83
5. Step 5: Solve for x
   x = 783,676.83/1,006.31
6. Step 6: Final answer
   x = 778.76