Finding the Fourth Proportional to 1,096.56, 1,646.20 and 1,091.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.56 : 1,646.20 = 1,091.56 : x
2. Step 2: Convert to fraction form
   1,096.56/1,646.20 = 1,091.56/x
3. Step 3: Cross multiply
   1,096.56x = 1,646.20 × 1,091.56
4. Step 4: Simplify right side
   1,096.56x = 1,796,926.07
5. Step 5: Solve for x
   x = 1,796,926.07/1,096.56
6. Step 6: Final answer
   x = 1,638.69