Finding the Fourth Proportional to 2,552.49, 3,830.21 and 1,457.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.49 : 3,830.21 = 1,457.62 : x
2. Step 2: Convert to fraction form
   2,552.49/3,830.21 = 1,457.62/x
3. Step 3: Cross multiply
   2,552.49x = 3,830.21 × 1,457.62
4. Step 4: Simplify right side
   2,552.49x = 5,582,994.17
5. Step 5: Solve for x
   x = 5,582,994.17/2,552.49
6. Step 6: Final answer
   x = 2,187.28