Finding the Fourth Proportional to 1,097.56, 1,644.50 and 663.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.56 : 1,644.50 = 663.82 : x
2. Step 2: Convert to fraction form
   1,097.56/1,644.50 = 663.82/x
3. Step 3: Cross multiply
   1,097.56x = 1,644.50 × 663.82
4. Step 4: Simplify right side
   1,097.56x = 1,091,651.99
5. Step 5: Solve for x
   x = 1,091,651.99/1,097.56
6. Step 6: Final answer
   x = 994.62