Finding the Fourth Proportional to 1,689.21, 2,533.56 and 456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.21 : 2,533.56 = 456.72 : x
2. Step 2: Convert to fraction form
   1,689.21/2,533.56 = 456.72/x
3. Step 3: Cross multiply
   1,689.21x = 2,533.56 × 456.72
4. Step 4: Simplify right side
   1,689.21x = 1,157,127.52
5. Step 5: Solve for x
   x = 1,157,127.52/1,689.21
6. Step 6: Final answer
   x = 685.01