Finding the Fourth Proportional to 1,001.94, 1,382.71 and 559.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.94 : 1,382.71 = 559.87 : x
2. Step 2: Convert to fraction form
   1,001.94/1,382.71 = 559.87/x
3. Step 3: Cross multiply
   1,001.94x = 1,382.71 × 559.87
4. Step 4: Simplify right side
   1,001.94x = 774,130.93
5. Step 5: Solve for x
   x = 774,130.93/1,001.94
6. Step 6: Final answer
   x = 772.63