Finding the Fourth Proportional to 1,057.56, 1,459.51 and 585.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.56 : 1,459.51 = 585.48 : x
2. Step 2: Convert to fraction form
   1,057.56/1,459.51 = 585.48/x
3. Step 3: Cross multiply
   1,057.56x = 1,459.51 × 585.48
4. Step 4: Simplify right side
   1,057.56x = 854,503.69
5. Step 5: Solve for x
   x = 854,503.69/1,057.56
6. Step 6: Final answer
   x = 808.00