Finding the Fourth Proportional to 1,007.09, 1,389.89 and 565.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.09 : 1,389.89 = 565.01 : x
2. Step 2: Convert to fraction form
   1,007.09/1,389.89 = 565.01/x
3. Step 3: Cross multiply
   1,007.09x = 1,389.89 × 565.01
4. Step 4: Simplify right side
   1,007.09x = 785,301.75
5. Step 5: Solve for x
   x = 785,301.75/1,007.09
6. Step 6: Final answer
   x = 779.77