Finding the Fourth Proportional to 1,648.10, 2,469.40 and 1,160.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.10 : 2,469.40 = 1,160.12 : x
2. Step 2: Convert to fraction form
   1,648.10/2,469.40 = 1,160.12/x
3. Step 3: Cross multiply
   1,648.10x = 2,469.40 × 1,160.12
4. Step 4: Simplify right side
   1,648.10x = 2,864,800.33
5. Step 5: Solve for x
   x = 2,864,800.33/1,648.10
6. Step 6: Final answer
   x = 1,738.24