Finding the Fourth Proportional to 2,401.40, 3,313.42 and 1,457.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.40 : 3,313.42 = 1,457.68 : x
2. Step 2: Convert to fraction form
   2,401.40/3,313.42 = 1,457.68/x
3. Step 3: Cross multiply
   2,401.40x = 3,313.42 × 1,457.68
4. Step 4: Simplify right side
   2,401.40x = 4,829,909.71
5. Step 5: Solve for x
   x = 4,829,909.71/2,401.40
6. Step 6: Final answer
   x = 2,011.29