Finding the Fourth Proportional to 2,656.10, 3,665.36 and 1,477.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.10 : 3,665.36 = 1,477.14 : x
2. Step 2: Convert to fraction form
   2,656.10/3,665.36 = 1,477.14/x
3. Step 3: Cross multiply
   2,656.10x = 3,665.36 × 1,477.14
4. Step 4: Simplify right side
   2,656.10x = 5,414,262.73
5. Step 5: Solve for x
   x = 5,414,262.73/2,656.10
6. Step 6: Final answer
   x = 2,038.43