Finding the Fourth Proportional to 2,619.24, 3,926.34 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,619.24 : 3,926.34 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,619.24/3,926.34 = 1,462.56/x
3. Step 3: Cross multiply
   2,619.24x = 3,926.34 × 1,462.56
4. Step 4: Simplify right side
   2,619.24x = 5,742,507.83
5. Step 5: Solve for x
   x = 5,742,507.83/2,619.24
6. Step 6: Final answer
   x = 2,192.43