Finding the Fourth Proportional to 1,306.33, 1,799.89 and 1,200.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.33 : 1,799.89 = 1,200.22 : x
2. Step 2: Convert to fraction form
   1,306.33/1,799.89 = 1,200.22/x
3. Step 3: Cross multiply
   1,306.33x = 1,799.89 × 1,200.22
4. Step 4: Simplify right side
   1,306.33x = 2,160,256.48
5. Step 5: Solve for x
   x = 2,160,256.48/1,306.33
6. Step 6: Final answer
   x = 1,653.69