Finding the Fourth Proportional to 2,462.78, 3,688.29 and 1,420.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.78 : 3,688.29 = 1,420.61 : x
2. Step 2: Convert to fraction form
   2,462.78/3,688.29 = 1,420.61/x
3. Step 3: Cross multiply
   2,462.78x = 3,688.29 × 1,420.61
4. Step 4: Simplify right side
   2,462.78x = 5,239,603.22
5. Step 5: Solve for x
   x = 5,239,603.22/2,462.78
6. Step 6: Final answer
   x = 2,127.52