Finding the Fourth Proportional to 2,738.47, 4,104.76 and 1,420.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.47 : 4,104.76 = 1,420.90 : x
2. Step 2: Convert to fraction form
   2,738.47/4,104.76 = 1,420.90/x
3. Step 3: Cross multiply
   2,738.47x = 4,104.76 × 1,420.90
4. Step 4: Simplify right side
   2,738.47x = 5,832,439.67
5. Step 5: Solve for x
   x = 5,832,439.67/2,738.47
6. Step 6: Final answer
   x = 2,129.82