Finding the Fourth Proportional to 16,731.60, 25,096.04 and 5,638.05

Step by Step Solution

1. Step 1: Write the proportion equation
   16,731.60 : 25,096.04 = 5,638.05 : x
2. Step 2: Convert to fraction form
   16,731.60/25,096.04 = 5,638.05/x
3. Step 3: Cross multiply
   16,731.60x = 25,096.04 × 5,638.05
4. Step 4: Simplify right side
   16,731.60x = 141,492,627.16
5. Step 5: Solve for x
   x = 141,492,627.16/16,731.60
6. Step 6: Final answer
   x = 8,456.61