Finding the Fourth Proportional to 2,702, 3,728.76 and 1,460

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702 : 3,728.76 = 1,460 : x
2. Step 2: Convert to fraction form
   2,702/3,728.76 = 1,460/x
3. Step 3: Cross multiply
   2,702x = 3,728.76 × 1,460
4. Step 4: Simplify right side
   2,702x = 5,443,989.60
5. Step 5: Solve for x
   x = 5,443,989.60/2,702
6. Step 6: Final answer
   x = 2,014.80