Finding the Fourth Proportional to 1,004.50, 1,507.15 and 456.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.50 : 1,507.15 = 456.94 : x
2. Step 2: Convert to fraction form
   1,004.50/1,507.15 = 456.94/x
3. Step 3: Cross multiply
   1,004.50x = 1,507.15 × 456.94
4. Step 4: Simplify right side
   1,004.50x = 688,669.59
5. Step 5: Solve for x
   x = 688,669.59/1,004.50
6. Step 6: Final answer
   x = 685.59