Finding the Fourth Proportional to 2,076.42, 2,865.78 and 1,192.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.42 : 2,865.78 = 1,192.02 : x
2. Step 2: Convert to fraction form
   2,076.42/2,865.78 = 1,192.02/x
3. Step 3: Cross multiply
   2,076.42x = 2,865.78 × 1,192.02
4. Step 4: Simplify right side
   2,076.42x = 3,416,067.08
5. Step 5: Solve for x
   x = 3,416,067.08/2,076.42
6. Step 6: Final answer
   x = 1,645.17