Finding the Fourth Proportional to 1,686.31, 2,525.82 and 1,100.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.31 : 2,525.82 = 1,100.68 : x
2. Step 2: Convert to fraction form
   1,686.31/2,525.82 = 1,100.68/x
3. Step 3: Cross multiply
   1,686.31x = 2,525.82 × 1,100.68
4. Step 4: Simplify right side
   1,686.31x = 2,780,119.56
5. Step 5: Solve for x
   x = 2,780,119.56/1,686.31
6. Step 6: Final answer
   x = 1,648.64