Finding the Fourth Proportional to 1,057.43, 1,459.33 and 585.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.43 : 1,459.33 = 585.35 : x
2. Step 2: Convert to fraction form
   1,057.43/1,459.33 = 585.35/x
3. Step 3: Cross multiply
   1,057.43x = 1,459.33 × 585.35
4. Step 4: Simplify right side
   1,057.43x = 854,217.72
5. Step 5: Solve for x
   x = 854,217.72/1,057.43
6. Step 6: Final answer
   x = 807.82