Finding the Fourth Proportional to 10,946.02, 16,414.88 and 3,924.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.02 : 16,414.88 = 3,924.14 : x
2. Step 2: Convert to fraction form
   10,946.02/16,414.88 = 3,924.14/x
3. Step 3: Cross multiply
   10,946.02x = 16,414.88 × 3,924.14
4. Step 4: Simplify right side
   10,946.02x = 64,414,287.20
5. Step 5: Solve for x
   x = 64,414,287.20/10,946.02
6. Step 6: Final answer
   x = 5,884.72