Finding the Fourth Proportional to 1,552.02, 2,327.67 and 456.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.02 : 2,327.67 = 456.09 : x
2. Step 2: Convert to fraction form
   1,552.02/2,327.67 = 456.09/x
3. Step 3: Cross multiply
   1,552.02x = 2,327.67 × 456.09
4. Step 4: Simplify right side
   1,552.02x = 1,061,627.01
5. Step 5: Solve for x
   x = 1,061,627.01/1,552.02
6. Step 6: Final answer
   x = 684.03