Finding the Fourth Proportional to 2,538.48, 3,810.56 and 1,444.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.48 : 3,810.56 = 1,444.20 : x
2. Step 2: Convert to fraction form
   2,538.48/3,810.56 = 1,444.20/x
3. Step 3: Cross multiply
   2,538.48x = 3,810.56 × 1,444.20
4. Step 4: Simplify right side
   2,538.48x = 5,503,210.75
5. Step 5: Solve for x
   x = 5,503,210.75/2,538.48
6. Step 6: Final answer
   x = 2,167.92