Finding the Fourth Proportional to 1,004.28, 1,505.51 and 456.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.28 : 1,505.51 = 456.17 : x
2. Step 2: Convert to fraction form
   1,004.28/1,505.51 = 456.17/x
3. Step 3: Cross multiply
   1,004.28x = 1,505.51 × 456.17
4. Step 4: Simplify right side
   1,004.28x = 686,758.69
5. Step 5: Solve for x
   x = 686,758.69/1,004.28
6. Step 6: Final answer
   x = 683.83