Finding the Fourth Proportional to 2,099.92, 3,145.77 and 1,610.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.92 : 3,145.77 = 1,610.58 : x
2. Step 2: Convert to fraction form
   2,099.92/3,145.77 = 1,610.58/x
3. Step 3: Cross multiply
   2,099.92x = 3,145.77 × 1,610.58
4. Step 4: Simplify right side
   2,099.92x = 5,066,514.25
5. Step 5: Solve for x
   x = 5,066,514.25/2,099.92
6. Step 6: Final answer
   x = 2,412.72