Finding the Fourth Proportional to 16,742.64, 25,114.20 and 7,978.48

Step by Step Solution

1. Step 1: Write the proportion equation
   16,742.64 : 25,114.20 = 7,978.48 : x
2. Step 2: Convert to fraction form
   16,742.64/25,114.20 = 7,978.48/x
3. Step 3: Cross multiply
   16,742.64x = 25,114.20 × 7,978.48
4. Step 4: Simplify right side
   16,742.64x = 200,373,142.42
5. Step 5: Solve for x
   x = 200,373,142.42/16,742.64
6. Step 6: Final answer
   x = 11,967.83