Finding the Fourth Proportional to 4,762.72, 7,144.56 and 1,684

Step by Step Solution

1. Step 1: Write the proportion equation
   4,762.72 : 7,144.56 = 1,684 : x
2. Step 2: Convert to fraction form
   4,762.72/7,144.56 = 1,684/x
3. Step 3: Cross multiply
   4,762.72x = 7,144.56 × 1,684
4. Step 4: Simplify right side
   4,762.72x = 12,031,439.04
5. Step 5: Solve for x
   x = 12,031,439.04/4,762.72
6. Step 6: Final answer
   x = 2,526.17