Finding the Fourth Proportional to 3,429.64, 5,146.22 and 1,456.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,429.64 : 5,146.22 = 1,456.62 : x
2. Step 2: Convert to fraction form
   3,429.64/5,146.22 = 1,456.62/x
3. Step 3: Cross multiply
   3,429.64x = 5,146.22 × 1,456.62
4. Step 4: Simplify right side
   3,429.64x = 7,496,086.98
5. Step 5: Solve for x
   x = 7,496,086.98/3,429.64
6. Step 6: Final answer
   x = 2,185.68