Finding the Fourth Proportional to 2,401.96, 3,314.64 and 1,407.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.96 : 3,314.64 = 1,407.28 : x
2. Step 2: Convert to fraction form
   2,401.96/3,314.64 = 1,407.28/x
3. Step 3: Cross multiply
   2,401.96x = 3,314.64 × 1,407.28
4. Step 4: Simplify right side
   2,401.96x = 4,664,626.58
5. Step 5: Solve for x
   x = 4,664,626.58/2,401.96
6. Step 6: Final answer
   x = 1,942.01