Finding the Fourth Proportional to 1,057.60, 1,459.43 and 585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.60 : 1,459.43 = 585.50 : x
2. Step 2: Convert to fraction form
   1,057.60/1,459.43 = 585.50/x
3. Step 3: Cross multiply
   1,057.60x = 1,459.43 × 585.50
4. Step 4: Simplify right side
   1,057.60x = 854,488.24
5. Step 5: Solve for x
   x = 854,488.24/1,057.60
6. Step 6: Final answer
   x = 807.95