Finding the Fourth Proportional to 2,077.31, 2,866.69 and 1,193.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.31 : 2,866.69 = 1,193.10 : x
2. Step 2: Convert to fraction form
   2,077.31/2,866.69 = 1,193.10/x
3. Step 3: Cross multiply
   2,077.31x = 2,866.69 × 1,193.10
4. Step 4: Simplify right side
   2,077.31x = 3,420,238.58
5. Step 5: Solve for x
   x = 3,420,238.58/2,077.31
6. Step 6: Final answer
   x = 1,646.47