Finding the Fourth Proportional to 1,689.91, 2,534.89 and 457.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.91 : 2,534.89 = 457.32 : x
2. Step 2: Convert to fraction form
   1,689.91/2,534.89 = 457.32/x
3. Step 3: Cross multiply
   1,689.91x = 2,534.89 × 457.32
4. Step 4: Simplify right side
   1,689.91x = 1,159,255.89
5. Step 5: Solve for x
   x = 1,159,255.89/1,689.91
6. Step 6: Final answer
   x = 685.99