Finding the Fourth Proportional to 1,665.36, 2,498.24 and 510.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.36 : 2,498.24 = 510.96 : x
2. Step 2: Convert to fraction form
   1,665.36/2,498.24 = 510.96/x
3. Step 3: Cross multiply
   1,665.36x = 2,498.24 × 510.96
4. Step 4: Simplify right side
   1,665.36x = 1,276,500.71
5. Step 5: Solve for x
   x = 1,276,500.71/1,665.36
6. Step 6: Final answer
   x = 766.50