Finding the Fourth Proportional to 1,006.71, 1,389.27 and 564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.71 : 1,389.27 = 564.72 : x
2. Step 2: Convert to fraction form
   1,006.71/1,389.27 = 564.72/x
3. Step 3: Cross multiply
   1,006.71x = 1,389.27 × 564.72
4. Step 4: Simplify right side
   1,006.71x = 784,548.55
5. Step 5: Solve for x
   x = 784,548.55/1,006.71
6. Step 6: Final answer
   x = 779.32