Finding the Fourth Proportional to 2,674.14, 3,691.98 and 2,005.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,674.14 : 3,691.98 = 2,005.62 : x
2. Step 2: Convert to fraction form
   2,674.14/3,691.98 = 2,005.62/x
3. Step 3: Cross multiply
   2,674.14x = 3,691.98 × 2,005.62
4. Step 4: Simplify right side
   2,674.14x = 7,404,708.93
5. Step 5: Solve for x
   x = 7,404,708.93/2,674.14
6. Step 6: Final answer
   x = 2,769.01