Finding the Fourth Proportional to 1,006.93, 1,389.56 and 564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.93 : 1,389.56 = 564.82 : x
2. Step 2: Convert to fraction form
   1,006.93/1,389.56 = 564.82/x
3. Step 3: Cross multiply
   1,006.93x = 1,389.56 × 564.82
4. Step 4: Simplify right side
   1,006.93x = 784,856.37
5. Step 5: Solve for x
   x = 784,856.37/1,006.93
6. Step 6: Final answer
   x = 779.45