Finding the Fourth Proportional to 1,001.96, 1,382.73 and 559.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.96 : 1,382.73 = 559.86 : x
2. Step 2: Convert to fraction form
   1,001.96/1,382.73 = 559.86/x
3. Step 3: Cross multiply
   1,001.96x = 1,382.73 × 559.86
4. Step 4: Simplify right side
   1,001.96x = 774,137.27
5. Step 5: Solve for x
   x = 774,137.27/1,001.96
6. Step 6: Final answer
   x = 772.62