Finding the Fourth Proportional to 3,641.92, 5,461.72 and 1,909.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.92 : 5,461.72 = 1,909.60 : x
2. Step 2: Convert to fraction form
   3,641.92/5,461.72 = 1,909.60/x
3. Step 3: Cross multiply
   3,641.92x = 5,461.72 × 1,909.60
4. Step 4: Simplify right side
   3,641.92x = 10,429,700.51
5. Step 5: Solve for x
   x = 10,429,700.51/3,641.92
6. Step 6: Final answer
   x = 2,863.79