Finding the Fourth Proportional to 1,057.17, 1,458.83 and 585.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.17 : 1,458.83 = 585.05 : x
2. Step 2: Convert to fraction form
   1,057.17/1,458.83 = 585.05/x
3. Step 3: Cross multiply
   1,057.17x = 1,458.83 × 585.05
4. Step 4: Simplify right side
   1,057.17x = 853,480.47
5. Step 5: Solve for x
   x = 853,480.47/1,057.17
6. Step 6: Final answer
   x = 807.33