Finding the Fourth Proportional to 2,080.65, 2,871.78 and 1,196.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.65 : 2,871.78 = 1,196.96 : x
2. Step 2: Convert to fraction form
   2,080.65/2,871.78 = 1,196.96/x
3. Step 3: Cross multiply
   2,080.65x = 2,871.78 × 1,196.96
4. Step 4: Simplify right side
   2,080.65x = 3,437,405.79
5. Step 5: Solve for x
   x = 3,437,405.79/2,080.65
6. Step 6: Final answer
   x = 1,652.08