Finding the Fourth Proportional to 2,738.64, 4,111.20 and 1,200.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.64 : 4,111.20 = 1,200.72 : x
2. Step 2: Convert to fraction form
   2,738.64/4,111.20 = 1,200.72/x
3. Step 3: Cross multiply
   2,738.64x = 4,111.20 × 1,200.72
4. Step 4: Simplify right side
   2,738.64x = 4,936,400.06
5. Step 5: Solve for x
   x = 4,936,400.06/2,738.64
6. Step 6: Final answer
   x = 1,802.50