Finding the Fourth Proportional to 1,001.98, 1,382.72 and 559.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.98 : 1,382.72 = 559.90 : x
2. Step 2: Convert to fraction form
   1,001.98/1,382.72 = 559.90/x
3. Step 3: Cross multiply
   1,001.98x = 1,382.72 × 559.90
4. Step 4: Simplify right side
   1,001.98x = 774,184.93
5. Step 5: Solve for x
   x = 774,184.93/1,001.98
6. Step 6: Final answer
   x = 772.66