Finding the Fourth Proportional to 1,096.42, 1,645.80 and 610.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.42 : 1,645.80 = 610.42 : x
2. Step 2: Convert to fraction form
   1,096.42/1,645.80 = 610.42/x
3. Step 3: Cross multiply
   1,096.42x = 1,645.80 × 610.42
4. Step 4: Simplify right side
   1,096.42x = 1,004,629.24
5. Step 5: Solve for x
   x = 1,004,629.24/1,096.42
6. Step 6: Final answer
   x = 916.28