Finding the Fourth Proportional to 2,201.59, 3,038.17 and 1,206.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,201.59 : 3,038.17 = 1,206.82 : x
2. Step 2: Convert to fraction form
   2,201.59/3,038.17 = 1,206.82/x
3. Step 3: Cross multiply
   2,201.59x = 3,038.17 × 1,206.82
4. Step 4: Simplify right side
   2,201.59x = 3,666,524.32
5. Step 5: Solve for x
   x = 3,666,524.32/2,201.59
6. Step 6: Final answer
   x = 1,665.40