Finding the Fourth Proportional to 1,057.77, 1,459.71 and 585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.77 : 1,459.71 = 585.69 : x
2. Step 2: Convert to fraction form
   1,057.77/1,459.71 = 585.69/x
3. Step 3: Cross multiply
   1,057.77x = 1,459.71 × 585.69
4. Step 4: Simplify right side
   1,057.77x = 854,937.55
5. Step 5: Solve for x
   x = 854,937.55/1,057.77
6. Step 6: Final answer
   x = 808.25