Finding the Fourth Proportional to 1,057.94, 1,587.57 and 510.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.94 : 1,587.57 = 510.18 : x
2. Step 2: Convert to fraction form
   1,057.94/1,587.57 = 510.18/x
3. Step 3: Cross multiply
   1,057.94x = 1,587.57 × 510.18
4. Step 4: Simplify right side
   1,057.94x = 809,938.60
5. Step 5: Solve for x
   x = 809,938.60/1,057.94
6. Step 6: Final answer
   x = 765.58