Finding the Fourth Proportional to 2,401.54, 3,314.38 and 1,407.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.54 : 3,314.38 = 1,407.65 : x
2. Step 2: Convert to fraction form
   2,401.54/3,314.38 = 1,407.65/x
3. Step 3: Cross multiply
   2,401.54x = 3,314.38 × 1,407.65
4. Step 4: Simplify right side
   2,401.54x = 4,665,484.24
5. Step 5: Solve for x
   x = 4,665,484.24/2,401.54
6. Step 6: Final answer
   x = 1,942.71