Finding the Fourth Proportional to 1,006.91, 1,389.43 and 564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.91 : 1,389.43 = 564.72 : x
2. Step 2: Convert to fraction form
   1,006.91/1,389.43 = 564.72/x
3. Step 3: Cross multiply
   1,006.91x = 1,389.43 × 564.72
4. Step 4: Simplify right side
   1,006.91x = 784,637.50
5. Step 5: Solve for x
   x = 784,637.50/1,006.91
6. Step 6: Final answer
   x = 779.25