Finding the Fourth Proportional to 1,042.02, 1,563.30 and 456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.02 : 1,563.30 = 456.72 : x
2. Step 2: Convert to fraction form
   1,042.02/1,563.30 = 456.72/x
3. Step 3: Cross multiply
   1,042.02x = 1,563.30 × 456.72
4. Step 4: Simplify right side
   1,042.02x = 713,990.38
5. Step 5: Solve for x
   x = 713,990.38/1,042.02
6. Step 6: Final answer
   x = 685.20