Finding the Fourth Proportional to 2,090.59, 2,884.75 and 1,206.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.59 : 2,884.75 = 1,206.25 : x
2. Step 2: Convert to fraction form
   2,090.59/2,884.75 = 1,206.25/x
3. Step 3: Cross multiply
   2,090.59x = 2,884.75 × 1,206.25
4. Step 4: Simplify right side
   2,090.59x = 3,479,729.69
5. Step 5: Solve for x
   x = 3,479,729.69/2,090.59
6. Step 6: Final answer
   x = 1,664.47