Finding the Fourth Proportional to 1,006.77, 1,389.33 and 564.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.77 : 1,389.33 = 564.67 : x
2. Step 2: Convert to fraction form
   1,006.77/1,389.33 = 564.67/x
3. Step 3: Cross multiply
   1,006.77x = 1,389.33 × 564.67
4. Step 4: Simplify right side
   1,006.77x = 784,510.15
5. Step 5: Solve for x
   x = 784,510.15/1,006.77
6. Step 6: Final answer
   x = 779.23