Finding the Fourth Proportional to 2,738.76, 3,779.50 and 1,496.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.76 : 3,779.50 = 1,496.76 : x
2. Step 2: Convert to fraction form
   2,738.76/3,779.50 = 1,496.76/x
3. Step 3: Cross multiply
   2,738.76x = 3,779.50 × 1,496.76
4. Step 4: Simplify right side
   2,738.76x = 5,657,004.42
5. Step 5: Solve for x
   x = 5,657,004.42/2,738.76
6. Step 6: Final answer
   x = 2,065.53