Finding the Fourth Proportional to 1,006.52, 1,389.06 and 564.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.52 : 1,389.06 = 564.48 : x
2. Step 2: Convert to fraction form
   1,006.52/1,389.06 = 564.48/x
3. Step 3: Cross multiply
   1,006.52x = 1,389.06 × 564.48
4. Step 4: Simplify right side
   1,006.52x = 784,096.59
5. Step 5: Solve for x
   x = 784,096.59/1,006.52
6. Step 6: Final answer
   x = 779.02