Finding the Fourth Proportional to 1,552.52, 2,328.42 and 456.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.52 : 2,328.42 = 456.59 : x
2. Step 2: Convert to fraction form
   1,552.52/2,328.42 = 456.59/x
3. Step 3: Cross multiply
   1,552.52x = 2,328.42 × 456.59
4. Step 4: Simplify right side
   1,552.52x = 1,063,133.29
5. Step 5: Solve for x
   x = 1,063,133.29/1,552.52
6. Step 6: Final answer
   x = 684.78