Finding the Fourth Proportional to 2,456.34, 3,680.10 and 2,048.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.34 : 3,680.10 = 2,048.10 : x
2. Step 2: Convert to fraction form
   2,456.34/3,680.10 = 2,048.10/x
3. Step 3: Cross multiply
   2,456.34x = 3,680.10 × 2,048.10
4. Step 4: Simplify right side
   2,456.34x = 7,537,212.81
5. Step 5: Solve for x
   x = 7,537,212.81/2,456.34
6. Step 6: Final answer
   x = 3,068.47