Finding the Fourth Proportional to 2,205.12, 3,037.86 and 1,540.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.12 : 3,037.86 = 1,540.80 : x
2. Step 2: Convert to fraction form
   2,205.12/3,037.86 = 1,540.80/x
3. Step 3: Cross multiply
   2,205.12x = 3,037.86 × 1,540.80
4. Step 4: Simplify right side
   2,205.12x = 4,680,734.69
5. Step 5: Solve for x
   x = 4,680,734.69/2,205.12
6. Step 6: Final answer
   x = 2,122.67