Finding the Fourth Proportional to 2,097.68, 3,157.82 and 1,886

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.68 : 3,157.82 = 1,886 : x
2. Step 2: Convert to fraction form
   2,097.68/3,157.82 = 1,886/x
3. Step 3: Cross multiply
   2,097.68x = 3,157.82 × 1,886
4. Step 4: Simplify right side
   2,097.68x = 5,955,648.52
5. Step 5: Solve for x
   x = 5,955,648.52/2,097.68
6. Step 6: Final answer
   x = 2,839.16