Finding the Fourth Proportional to 2,552.40, 3,829.32 and 1,457.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.40 : 3,829.32 = 1,457.55 : x
2. Step 2: Convert to fraction form
   2,552.40/3,829.32 = 1,457.55/x
3. Step 3: Cross multiply
   2,552.40x = 3,829.32 × 1,457.55
4. Step 4: Simplify right side
   2,552.40x = 5,581,425.37
5. Step 5: Solve for x
   x = 5,581,425.37/2,552.40
6. Step 6: Final answer
   x = 2,186.74