Finding the Fourth Proportional to 1,665.01, 2,496.61 and 510.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.01 : 2,496.61 = 510.61 : x
2. Step 2: Convert to fraction form
   1,665.01/2,496.61 = 510.61/x
3. Step 3: Cross multiply
   1,665.01x = 2,496.61 × 510.61
4. Step 4: Simplify right side
   1,665.01x = 1,274,794.03
5. Step 5: Solve for x
   x = 1,274,794.03/1,665.01
6. Step 6: Final answer
   x = 765.64