Finding the Fourth Proportional to 1,006.95, 1,389.59 and 564.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.95 : 1,389.59 = 564.86 : x
2. Step 2: Convert to fraction form
   1,006.95/1,389.59 = 564.86/x
3. Step 3: Cross multiply
   1,006.95x = 1,389.59 × 564.86
4. Step 4: Simplify right side
   1,006.95x = 784,918.27
5. Step 5: Solve for x
   x = 784,918.27/1,006.95
6. Step 6: Final answer
   x = 779.50