Finding the Fourth Proportional to 1,057.82, 1,459.76 and 585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.82 : 1,459.76 = 585.69 : x
2. Step 2: Convert to fraction form
   1,057.82/1,459.76 = 585.69/x
3. Step 3: Cross multiply
   1,057.82x = 1,459.76 × 585.69
4. Step 4: Simplify right side
   1,057.82x = 854,963.91
5. Step 5: Solve for x
   x = 854,963.91/1,057.82
6. Step 6: Final answer
   x = 808.24