Finding the Fourth Proportional to 1,689.18, 2,533.50 and 456.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.18 : 2,533.50 = 456.32 : x
2. Step 2: Convert to fraction form
   1,689.18/2,533.50 = 456.32/x
3. Step 3: Cross multiply
   1,689.18x = 2,533.50 × 456.32
4. Step 4: Simplify right side
   1,689.18x = 1,156,086.72
5. Step 5: Solve for x
   x = 1,156,086.72/1,689.18
6. Step 6: Final answer
   x = 684.41