Finding the Fourth Proportional to 10,456.82, 15,689.32 and 4,609.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.82 : 15,689.32 = 4,609.32 : x
2. Step 2: Convert to fraction form
   10,456.82/15,689.32 = 4,609.32/x
3. Step 3: Cross multiply
   10,456.82x = 15,689.32 × 4,609.32
4. Step 4: Simplify right side
   10,456.82x = 72,317,096.46
5. Step 5: Solve for x
   x = 72,317,096.46/10,456.82
6. Step 6: Final answer
   x = 6,915.78