Finding the Fourth Proportional to 2,111.64, 2,914.68 and 1,227.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.64 : 2,914.68 = 1,227.84 : x
2. Step 2: Convert to fraction form
   2,111.64/2,914.68 = 1,227.84/x
3. Step 3: Cross multiply
   2,111.64x = 2,914.68 × 1,227.84
4. Step 4: Simplify right side
   2,111.64x = 3,578,760.69
5. Step 5: Solve for x
   x = 3,578,760.69/2,111.64
6. Step 6: Final answer
   x = 1,694.78