Finding the Fourth Proportional to 4,967.10, 7,414.16 and 4,638.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,967.10 : 7,414.16 = 4,638.78 : x
2. Step 2: Convert to fraction form
   4,967.10/7,414.16 = 4,638.78/x
3. Step 3: Cross multiply
   4,967.10x = 7,414.16 × 4,638.78
4. Step 4: Simplify right side
   4,967.10x = 34,392,633.93
5. Step 5: Solve for x
   x = 34,392,633.93/4,967.10
6. Step 6: Final answer
   x = 6,924.09