Finding the Fourth Proportional to 1,057.59, 1,587.18 and 510.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.59 : 1,587.18 = 510.14 : x
2. Step 2: Convert to fraction form
   1,057.59/1,587.18 = 510.14/x
3. Step 3: Cross multiply
   1,057.59x = 1,587.18 × 510.14
4. Step 4: Simplify right side
   1,057.59x = 809,684.01
5. Step 5: Solve for x
   x = 809,684.01/1,057.59
6. Step 6: Final answer
   x = 765.59