Finding the Fourth Proportional to 1,031.87, 1,424.00 and 583.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.87 : 1,424.00 = 583.76 : x
2. Step 2: Convert to fraction form
   1,031.87/1,424.00 = 583.76/x
3. Step 3: Cross multiply
   1,031.87x = 1,424.00 × 583.76
4. Step 4: Simplify right side
   1,031.87x = 831,264.20
5. Step 5: Solve for x
   x = 831,264.20/1,031.87
6. Step 6: Final answer
   x = 805.59