Finding the Fourth Proportional to 1,002.04, 1,382.82 and 559.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.04 : 1,382.82 = 559.96 : x
2. Step 2: Convert to fraction form
   1,002.04/1,382.82 = 559.96/x
3. Step 3: Cross multiply
   1,002.04x = 1,382.82 × 559.96
4. Step 4: Simplify right side
   1,002.04x = 774,323.89
5. Step 5: Solve for x
   x = 774,323.89/1,002.04
6. Step 6: Final answer
   x = 772.75