Finding the Fourth Proportional to 2,748.50, 3,792.93 and 1,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,748.50 : 3,792.93 = 1,506.50 : x
2. Step 2: Convert to fraction form
   2,748.50/3,792.93 = 1,506.50/x
3. Step 3: Cross multiply
   2,748.50x = 3,792.93 × 1,506.50
4. Step 4: Simplify right side
   2,748.50x = 5,714,049.05
5. Step 5: Solve for x
   x = 5,714,049.05/2,748.50
6. Step 6: Final answer
   x = 2,078.97