Finding the Fourth Proportional to 1,042.16, 1,562.28 and 464.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.16 : 1,562.28 = 464.72 : x
2. Step 2: Convert to fraction form
   1,042.16/1,562.28 = 464.72/x
3. Step 3: Cross multiply
   1,042.16x = 1,562.28 × 464.72
4. Step 4: Simplify right side
   1,042.16x = 726,022.76
5. Step 5: Solve for x
   x = 726,022.76/1,042.16
6. Step 6: Final answer
   x = 696.65