Finding the Fourth Proportional to 1,096.12, 1,643.24 and 510.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.12 : 1,643.24 = 510.81 : x
2. Step 2: Convert to fraction form
   1,096.12/1,643.24 = 510.81/x
3. Step 3: Cross multiply
   1,096.12x = 1,643.24 × 510.81
4. Step 4: Simplify right side
   1,096.12x = 839,383.42
5. Step 5: Solve for x
   x = 839,383.42/1,096.12
6. Step 6: Final answer
   x = 765.78