Finding the Fourth Proportional to 1,002.08, 1,382.79 and 559.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.08 : 1,382.79 = 559.89 : x
2. Step 2: Convert to fraction form
   1,002.08/1,382.79 = 559.89/x
3. Step 3: Cross multiply
   1,002.08x = 1,382.79 × 559.89
4. Step 4: Simplify right side
   1,002.08x = 774,210.29
5. Step 5: Solve for x
   x = 774,210.29/1,002.08
6. Step 6: Final answer
   x = 772.60