Finding the Fourth Proportional to 1,002.53, 1,504.46 and 454.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.53 : 1,504.46 = 454.72 : x
2. Step 2: Convert to fraction form
   1,002.53/1,504.46 = 454.72/x
3. Step 3: Cross multiply
   1,002.53x = 1,504.46 × 454.72
4. Step 4: Simplify right side
   1,002.53x = 684,108.05
5. Step 5: Solve for x
   x = 684,108.05/1,002.53
6. Step 6: Final answer
   x = 682.38