Finding the Fourth Proportional to 1,096.50, 1,639.89 and 1,004.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,639.89 = 1,004.16 : x
2. Step 2: Convert to fraction form
   1,096.50/1,639.89 = 1,004.16/x
3. Step 3: Cross multiply
   1,096.50x = 1,639.89 × 1,004.16
4. Step 4: Simplify right side
   1,096.50x = 1,646,711.94
5. Step 5: Solve for x
   x = 1,646,711.94/1,096.50
6. Step 6: Final answer
   x = 1,501.79