Finding the Fourth Proportional to 2,458.38, 3,688.29 and 1,419.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.38 : 3,688.29 = 1,419.12 : x
2. Step 2: Convert to fraction form
   2,458.38/3,688.29 = 1,419.12/x
3. Step 3: Cross multiply
   2,458.38x = 3,688.29 × 1,419.12
4. Step 4: Simplify right side
   2,458.38x = 5,234,126.10
5. Step 5: Solve for x
   x = 5,234,126.10/2,458.38
6. Step 6: Final answer
   x = 2,129.10