Finding the Fourth Proportional to 1,057.52, 1,459.37 and 591.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.52 : 1,459.37 = 591.77 : x
2. Step 2: Convert to fraction form
   1,057.52/1,459.37 = 591.77/x
3. Step 3: Cross multiply
   1,057.52x = 1,459.37 × 591.77
4. Step 4: Simplify right side
   1,057.52x = 863,605.57
5. Step 5: Solve for x
   x = 863,605.57/1,057.52
6. Step 6: Final answer
   x = 816.64