Finding the Fourth Proportional to 4,956.78, 7,421.49 and 4,665.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,956.78 : 7,421.49 = 4,665.42 : x
2. Step 2: Convert to fraction form
   4,956.78/7,421.49 = 4,665.42/x
3. Step 3: Cross multiply
   4,956.78x = 7,421.49 × 4,665.42
4. Step 4: Simplify right side
   4,956.78x = 34,624,367.88
5. Step 5: Solve for x
   x = 34,624,367.88/4,956.78
6. Step 6: Final answer
   x = 6,985.25