Finding the Fourth Proportional to 1,648.40, 2,467.56 and 1,541.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.40 : 2,467.56 = 1,541.84 : x
2. Step 2: Convert to fraction form
   1,648.40/2,467.56 = 1,541.84/x
3. Step 3: Cross multiply
   1,648.40x = 2,467.56 × 1,541.84
4. Step 4: Simplify right side
   1,648.40x = 3,804,582.71
5. Step 5: Solve for x
   x = 3,804,582.71/1,648.40
6. Step 6: Final answer
   x = 2,308.05