Finding the Fourth Proportional to 1,552.20, 2,328.52 and 456.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.20 : 2,328.52 = 456.42 : x
2. Step 2: Convert to fraction form
   1,552.20/2,328.52 = 456.42/x
3. Step 3: Cross multiply
   1,552.20x = 2,328.52 × 456.42
4. Step 4: Simplify right side
   1,552.20x = 1,062,783.10
5. Step 5: Solve for x
   x = 1,062,783.10/1,552.20
6. Step 6: Final answer
   x = 684.69