Finding the Fourth Proportional to 1,096.30, 1,643.64 and 518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.30 : 1,643.64 = 518.50 : x
2. Step 2: Convert to fraction form
   1,096.30/1,643.64 = 518.50/x
3. Step 3: Cross multiply
   1,096.30x = 1,643.64 × 518.50
4. Step 4: Simplify right side
   1,096.30x = 852,227.34
5. Step 5: Solve for x
   x = 852,227.34/1,096.30
6. Step 6: Final answer
   x = 777.37