Finding the Fourth Proportional to 1,006.48, 1,389.00 and 564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.48 : 1,389.00 = 564.52 : x
2. Step 2: Convert to fraction form
   1,006.48/1,389.00 = 564.52/x
3. Step 3: Cross multiply
   1,006.48x = 1,389.00 × 564.52
4. Step 4: Simplify right side
   1,006.48x = 784,108.51
5. Step 5: Solve for x
   x = 784,108.51/1,006.48
6. Step 6: Final answer
   x = 779.06