Finding the Fourth Proportional to 4,667.46, 6,441.02 and 2,678.10

Step by Step Solution

1. Step 1: Write the proportion equation
   4,667.46 : 6,441.02 = 2,678.10 : x
2. Step 2: Convert to fraction form
   4,667.46/6,441.02 = 2,678.10/x
3. Step 3: Cross multiply
   4,667.46x = 6,441.02 × 2,678.10
4. Step 4: Simplify right side
   4,667.46x = 17,249,668.16
5. Step 5: Solve for x
   x = 17,249,668.16/4,667.46
6. Step 6: Final answer
   x = 3,695.73