Finding the Fourth Proportional to 2,080.76, 2,871.50 and 1,196.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.76 : 2,871.50 = 1,196.64 : x
2. Step 2: Convert to fraction form
   2,080.76/2,871.50 = 1,196.64/x
3. Step 3: Cross multiply
   2,080.76x = 2,871.50 × 1,196.64
4. Step 4: Simplify right side
   2,080.76x = 3,436,145.78
5. Step 5: Solve for x
   x = 3,436,145.78/2,080.76
6. Step 6: Final answer
   x = 1,651.39