Finding the Fourth Proportional to 3,071.82, 4,606.14 and 1,096.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,071.82 : 4,606.14 = 1,096.69 : x
2. Step 2: Convert to fraction form
   3,071.82/4,606.14 = 1,096.69/x
3. Step 3: Cross multiply
   3,071.82x = 4,606.14 × 1,096.69
4. Step 4: Simplify right side
   3,071.82x = 5,051,505.83
5. Step 5: Solve for x
   x = 5,051,505.83/3,071.82
6. Step 6: Final answer
   x = 1,644.46