Finding the Fourth Proportional to 1,096.02, 1,643.50 and 510.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.02 : 1,643.50 = 510.89 : x
2. Step 2: Convert to fraction form
   1,096.02/1,643.50 = 510.89/x
3. Step 3: Cross multiply
   1,096.02x = 1,643.50 × 510.89
4. Step 4: Simplify right side
   1,096.02x = 839,638.22
5. Step 5: Solve for x
   x = 839,638.22/1,096.02
6. Step 6: Final answer
   x = 766.08