Finding the Fourth Proportional to 1,006.84, 1,389.46 and 564.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.84 : 1,389.46 = 564.83 : x
2. Step 2: Convert to fraction form
   1,006.84/1,389.46 = 564.83/x
3. Step 3: Cross multiply
   1,006.84x = 1,389.46 × 564.83
4. Step 4: Simplify right side
   1,006.84x = 784,800.33
5. Step 5: Solve for x
   x = 784,800.33/1,006.84
6. Step 6: Final answer
   x = 779.47