Finding the Fourth Proportional to 1,007.27, 1,390.02 and 565.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.27 : 1,390.02 = 565.18 : x
2. Step 2: Convert to fraction form
   1,007.27/1,390.02 = 565.18/x
3. Step 3: Cross multiply
   1,007.27x = 1,390.02 × 565.18
4. Step 4: Simplify right side
   1,007.27x = 785,611.50
5. Step 5: Solve for x
   x = 785,611.50/1,007.27
6. Step 6: Final answer
   x = 779.94