Finding the Fourth Proportional to 1,669.82, 2,305.06 and 1,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,669.82 : 2,305.06 = 1,206.50 : x
2. Step 2: Convert to fraction form
   1,669.82/2,305.06 = 1,206.50/x
3. Step 3: Cross multiply
   1,669.82x = 2,305.06 × 1,206.50
4. Step 4: Simplify right side
   1,669.82x = 2,781,040.35
5. Step 5: Solve for x
   x = 2,781,040.35/1,669.82
6. Step 6: Final answer
   x = 1,665.48