Finding the Fourth Proportional to 2,076.10, 2,865.16 and 1,192.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.10 : 2,865.16 = 1,192.12 : x
2. Step 2: Convert to fraction form
   2,076.10/2,865.16 = 1,192.12/x
3. Step 3: Cross multiply
   2,076.10x = 2,865.16 × 1,192.12
4. Step 4: Simplify right side
   2,076.10x = 3,415,614.54
5. Step 5: Solve for x
   x = 3,415,614.54/2,076.10
6. Step 6: Final answer
   x = 1,645.21