Finding the Fourth Proportional to 1,664.94, 2,496.69 and 510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664.94 : 2,496.69 = 510.42 : x
2. Step 2: Convert to fraction form
   1,664.94/2,496.69 = 510.42/x
3. Step 3: Cross multiply
   1,664.94x = 2,496.69 × 510.42
4. Step 4: Simplify right side
   1,664.94x = 1,274,360.51
5. Step 5: Solve for x
   x = 1,274,360.51/1,664.94
6. Step 6: Final answer
   x = 765.41