Finding the Fourth Proportional to 2,738.42, 4,103.79 and 1,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.42 : 4,103.79 = 1,824.50 : x
2. Step 2: Convert to fraction form
   2,738.42/4,103.79 = 1,824.50/x
3. Step 3: Cross multiply
   2,738.42x = 4,103.79 × 1,824.50
4. Step 4: Simplify right side
   2,738.42x = 7,487,364.86
5. Step 5: Solve for x
   x = 7,487,364.86/2,738.42
6. Step 6: Final answer
   x = 2,734.19