Finding the Fourth Proportional to 1,037.57, 1,431.61 and 589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.57 : 1,431.61 = 589.46 : x
2. Step 2: Convert to fraction form
   1,037.57/1,431.61 = 589.46/x
3. Step 3: Cross multiply
   1,037.57x = 1,431.61 × 589.46
4. Step 4: Simplify right side
   1,037.57x = 843,878.94
5. Step 5: Solve for x
   x = 843,878.94/1,037.57
6. Step 6: Final answer
   x = 813.32