Finding the Fourth Proportional to 2,441.60, 3,659.82 and 1,206.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,441.60 : 3,659.82 = 1,206.47 : x
2. Step 2: Convert to fraction form
   2,441.60/3,659.82 = 1,206.47/x
3. Step 3: Cross multiply
   2,441.60x = 3,659.82 × 1,206.47
4. Step 4: Simplify right side
   2,441.60x = 4,415,444.74
5. Step 5: Solve for x
   x = 4,415,444.74/2,441.60
6. Step 6: Final answer
   x = 1,808.43