Finding the Fourth Proportional to 2,401.14, 3,314.40 and 1,406.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.14 : 3,314.40 = 1,406.74 : x
2. Step 2: Convert to fraction form
   2,401.14/3,314.40 = 1,406.74/x
3. Step 3: Cross multiply
   2,401.14x = 3,314.40 × 1,406.74
4. Step 4: Simplify right side
   2,401.14x = 4,662,499.06
5. Step 5: Solve for x
   x = 4,662,499.06/2,401.14
6. Step 6: Final answer
   x = 1,941.79