Finding the Fourth Proportional to 2,401.41, 3,314.03 and 1,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.41 : 3,314.03 = 1,406.78 : x
2. Step 2: Convert to fraction form
   2,401.41/3,314.03 = 1,406.78/x
3. Step 3: Cross multiply
   2,401.41x = 3,314.03 × 1,406.78
4. Step 4: Simplify right side
   2,401.41x = 4,662,111.12
5. Step 5: Solve for x
   x = 4,662,111.12/2,401.41
6. Step 6: Final answer
   x = 1,941.41