Finding the Fourth Proportional to 3,005.75, 4,147.94 and 1,826.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,005.75 : 4,147.94 = 1,826.59 : x
2. Step 2: Convert to fraction form
   3,005.75/4,147.94 = 1,826.59/x
3. Step 3: Cross multiply
   3,005.75x = 4,147.94 × 1,826.59
4. Step 4: Simplify right side
   3,005.75x = 7,576,585.72
5. Step 5: Solve for x
   x = 7,576,585.72/3,005.75
6. Step 6: Final answer
   x = 2,520.70