Finding the Fourth Proportional to 2,090.58, 2,885.40 and 1,206.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.58 : 2,885.40 = 1,206.42 : x
2. Step 2: Convert to fraction form
   2,090.58/2,885.40 = 1,206.42/x
3. Step 3: Cross multiply
   2,090.58x = 2,885.40 × 1,206.42
4. Step 4: Simplify right side
   2,090.58x = 3,481,004.27
5. Step 5: Solve for x
   x = 3,481,004.27/2,090.58
6. Step 6: Final answer
   x = 1,665.09