Finding the Fourth Proportional to 1,002.08, 1,382.83 and 559.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.08 : 1,382.83 = 559.98 : x
2. Step 2: Convert to fraction form
   1,002.08/1,382.83 = 559.98/x
3. Step 3: Cross multiply
   1,002.08x = 1,382.83 × 559.98
4. Step 4: Simplify right side
   1,002.08x = 774,355.74
5. Step 5: Solve for x
   x = 774,355.74/1,002.08
6. Step 6: Final answer
   x = 772.75