Finding the Fourth Proportional to 2,974.72, 4,105.14 and 1,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974.72 : 4,105.14 = 1,648.50 : x
2. Step 2: Convert to fraction form
   2,974.72/4,105.14 = 1,648.50/x
3. Step 3: Cross multiply
   2,974.72x = 4,105.14 × 1,648.50
4. Step 4: Simplify right side
   2,974.72x = 6,767,323.29
5. Step 5: Solve for x
   x = 6,767,323.29/2,974.72
6. Step 6: Final answer
   x = 2,274.94