Finding the Fourth Proportional to 1,001.82, 1,382.49 and 559.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.82 : 1,382.49 = 559.72 : x
2. Step 2: Convert to fraction form
   1,001.82/1,382.49 = 559.72/x
3. Step 3: Cross multiply
   1,001.82x = 1,382.49 × 559.72
4. Step 4: Simplify right side
   1,001.82x = 773,807.30
5. Step 5: Solve for x
   x = 773,807.30/1,001.82
6. Step 6: Final answer
   x = 772.40