Finding the Fourth Proportional to 2,462.16, 3,688.92 and 1,434

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.16 : 3,688.92 = 1,434 : x
2. Step 2: Convert to fraction form
   2,462.16/3,688.92 = 1,434/x
3. Step 3: Cross multiply
   2,462.16x = 3,688.92 × 1,434
4. Step 4: Simplify right side
   2,462.16x = 5,289,911.28
5. Step 5: Solve for x
   x = 5,289,911.28/2,462.16
6. Step 6: Final answer
   x = 2,148.48