Finding the Fourth Proportional to 2,077.74, 2,866.59 and 1,192.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.74 : 2,866.59 = 1,192.91 : x
2. Step 2: Convert to fraction form
   2,077.74/2,866.59 = 1,192.91/x
3. Step 3: Cross multiply
   2,077.74x = 2,866.59 × 1,192.91
4. Step 4: Simplify right side
   2,077.74x = 3,419,569.54
5. Step 5: Solve for x
   x = 3,419,569.54/2,077.74
6. Step 6: Final answer
   x = 1,645.81