Finding the Fourth Proportional to 2,457.34, 3,682.67 and 1,416.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.34 : 3,682.67 = 1,416.69 : x
2. Step 2: Convert to fraction form
   2,457.34/3,682.67 = 1,416.69/x
3. Step 3: Cross multiply
   2,457.34x = 3,682.67 × 1,416.69
4. Step 4: Simplify right side
   2,457.34x = 5,217,194.68
5. Step 5: Solve for x
   x = 5,217,194.68/2,457.34
6. Step 6: Final answer
   x = 2,123.11