Finding the Fourth Proportional to 2,090.71, 2,885.24 and 1,206.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.71 : 2,885.24 = 1,206.56 : x
2. Step 2: Convert to fraction form
   2,090.71/2,885.24 = 1,206.56/x
3. Step 3: Cross multiply
   2,090.71x = 2,885.24 × 1,206.56
4. Step 4: Simplify right side
   2,090.71x = 3,481,225.40
5. Step 5: Solve for x
   x = 3,481,225.40/2,090.71
6. Step 6: Final answer
   x = 1,665.09