Finding the Fourth Proportional to 2,076.71, 2,865.84 and 1,192.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.71 : 2,865.84 = 1,192.82 : x
2. Step 2: Convert to fraction form
   2,076.71/2,865.84 = 1,192.82/x
3. Step 3: Cross multiply
   2,076.71x = 2,865.84 × 1,192.82
4. Step 4: Simplify right side
   2,076.71x = 3,418,431.27
5. Step 5: Solve for x
   x = 3,418,431.27/2,076.71
6. Step 6: Final answer
   x = 1,646.08