Finding the Fourth Proportional to 1,007.16, 1,389.72 and 564.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.16 : 1,389.72 = 564.96 : x
2. Step 2: Convert to fraction form
   1,007.16/1,389.72 = 564.96/x
3. Step 3: Cross multiply
   1,007.16x = 1,389.72 × 564.96
4. Step 4: Simplify right side
   1,007.16x = 785,136.21
5. Step 5: Solve for x
   x = 785,136.21/1,007.16
6. Step 6: Final answer
   x = 779.55