Finding the Fourth Proportional to 1,002.07, 1,382.79 and 559.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.07 : 1,382.79 = 559.88 : x
2. Step 2: Convert to fraction form
   1,002.07/1,382.79 = 559.88/x
3. Step 3: Cross multiply
   1,002.07x = 1,382.79 × 559.88
4. Step 4: Simplify right side
   1,002.07x = 774,196.47
5. Step 5: Solve for x
   x = 774,196.47/1,002.07
6. Step 6: Final answer
   x = 772.60