Finding the Fourth Proportional to 2,437.80, 3,650.20 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,437.80 : 3,650.20 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,437.80/3,650.20 = 1,462.56/x
3. Step 3: Cross multiply
   2,437.80x = 3,650.20 × 1,462.56
4. Step 4: Simplify right side
   2,437.80x = 5,338,636.51
5. Step 5: Solve for x
   x = 5,338,636.51/2,437.80
6. Step 6: Final answer
   x = 2,189.94