Finding the Fourth Proportional to 1,057.52, 1,459.32 and 585.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.52 : 1,459.32 = 585.29 : x
2. Step 2: Convert to fraction form
   1,057.52/1,459.32 = 585.29/x
3. Step 3: Cross multiply
   1,057.52x = 1,459.32 × 585.29
4. Step 4: Simplify right side
   1,057.52x = 854,126.86
5. Step 5: Solve for x
   x = 854,126.86/1,057.52
6. Step 6: Final answer
   x = 807.67