Finding the Fourth Proportional to 1,057.91, 1,459.88 and 585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.91 : 1,459.88 = 585.78 : x
2. Step 2: Convert to fraction form
   1,057.91/1,459.88 = 585.78/x
3. Step 3: Cross multiply
   1,057.91x = 1,459.88 × 585.78
4. Step 4: Simplify right side
   1,057.91x = 855,168.51
5. Step 5: Solve for x
   x = 855,168.51/1,057.91
6. Step 6: Final answer
   x = 808.36