Finding the Fourth Proportional to 2,636.80, 3,638.56 and 1,457.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.80 : 3,638.56 = 1,457.92 : x
2. Step 2: Convert to fraction form
   2,636.80/3,638.56 = 1,457.92/x
3. Step 3: Cross multiply
   2,636.80x = 3,638.56 × 1,457.92
4. Step 4: Simplify right side
   2,636.80x = 5,304,729.40
5. Step 5: Solve for x
   x = 5,304,729.40/2,636.80
6. Step 6: Final answer
   x = 2,011.81