Finding the Fourth Proportional to 2,560.58, 3,834.71 and 1,461.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.58 : 3,834.71 = 1,461.61 : x
2. Step 2: Convert to fraction form
   2,560.58/3,834.71 = 1,461.61/x
3. Step 3: Cross multiply
   2,560.58x = 3,834.71 × 1,461.61
4. Step 4: Simplify right side
   2,560.58x = 5,604,863.72
5. Step 5: Solve for x
   x = 5,604,863.72/2,560.58
6. Step 6: Final answer
   x = 2,188.90