Finding the Fourth Proportional to 2,141.73, 3,214.62 and 1,411.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.73 : 3,214.62 = 1,411.78 : x
2. Step 2: Convert to fraction form
   2,141.73/3,214.62 = 1,411.78/x
3. Step 3: Cross multiply
   2,141.73x = 3,214.62 × 1,411.78
4. Step 4: Simplify right side
   2,141.73x = 4,538,336.22
5. Step 5: Solve for x
   x = 4,538,336.22/2,141.73
6. Step 6: Final answer
   x = 2,119.00