Finding the Fourth Proportional to 1,031.94, 1,424.06 and 559.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.94 : 1,424.06 = 559.82 : x
2. Step 2: Convert to fraction form
   1,031.94/1,424.06 = 559.82/x
3. Step 3: Cross multiply
   1,031.94x = 1,424.06 × 559.82
4. Step 4: Simplify right side
   1,031.94x = 797,214.47
5. Step 5: Solve for x
   x = 797,214.47/1,031.94
6. Step 6: Final answer
   x = 772.54