Finding the Fourth Proportional to 1,002.05, 1,382.77 and 559.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.05 : 1,382.77 = 559.96 : x
2. Step 2: Convert to fraction form
   1,002.05/1,382.77 = 559.96/x
3. Step 3: Cross multiply
   1,002.05x = 1,382.77 × 559.96
4. Step 4: Simplify right side
   1,002.05x = 774,293.13
5. Step 5: Solve for x
   x = 774,293.13/1,002.05
6. Step 6: Final answer
   x = 772.71