Finding the Fourth Proportional to 2,469.76, 3,408.27 and 1,407.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.76 : 3,408.27 = 1,407.48 : x
2. Step 2: Convert to fraction form
   2,469.76/3,408.27 = 1,407.48/x
3. Step 3: Cross multiply
   2,469.76x = 3,408.27 × 1,407.48
4. Step 4: Simplify right side
   2,469.76x = 4,797,071.86
5. Step 5: Solve for x
   x = 4,797,071.86/2,469.76
6. Step 6: Final answer
   x = 1,942.32