Finding the Fourth Proportional to 2,401.82, 3,314.47 and 1,407.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.82 : 3,314.47 = 1,407.61 : x
2. Step 2: Convert to fraction form
   2,401.82/3,314.47 = 1,407.61/x
3. Step 3: Cross multiply
   2,401.82x = 3,314.47 × 1,407.61
4. Step 4: Simplify right side
   2,401.82x = 4,665,481.12
5. Step 5: Solve for x
   x = 4,665,481.12/2,401.82
6. Step 6: Final answer
   x = 1,942.48