Finding the Fourth Proportional to 1,004.17, 1,505.72 and 456.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.17 : 1,505.72 = 456.05 : x
2. Step 2: Convert to fraction form
   1,004.17/1,505.72 = 456.05/x
3. Step 3: Cross multiply
   1,004.17x = 1,505.72 × 456.05
4. Step 4: Simplify right side
   1,004.17x = 686,685.09
5. Step 5: Solve for x
   x = 686,685.09/1,004.17
6. Step 6: Final answer
   x = 683.84