Finding the Fourth Proportional to 1,680.48, 2,520.42 and 510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.48 : 2,520.42 = 510.42 : x
2. Step 2: Convert to fraction form
   1,680.48/2,520.42 = 510.42/x
3. Step 3: Cross multiply
   1,680.48x = 2,520.42 × 510.42
4. Step 4: Simplify right side
   1,680.48x = 1,286,472.78
5. Step 5: Solve for x
   x = 1,286,472.78/1,680.48
6. Step 6: Final answer
   x = 765.54