Finding the Fourth Proportional to 1,007.06, 1,389.72 and 564.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.06 : 1,389.72 = 564.98 : x
2. Step 2: Convert to fraction form
   1,007.06/1,389.72 = 564.98/x
3. Step 3: Cross multiply
   1,007.06x = 1,389.72 × 564.98
4. Step 4: Simplify right side
   1,007.06x = 785,164.01
5. Step 5: Solve for x
   x = 785,164.01/1,007.06
6. Step 6: Final answer
   x = 779.66