Finding the Fourth Proportional to 2,655.88, 3,665.14 and 1,477.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.88 : 3,665.14 = 1,477.20 : x
2. Step 2: Convert to fraction form
   2,655.88/3,665.14 = 1,477.20/x
3. Step 3: Cross multiply
   2,655.88x = 3,665.14 × 1,477.20
4. Step 4: Simplify right side
   2,655.88x = 5,414,144.81
5. Step 5: Solve for x
   x = 5,414,144.81/2,655.88
6. Step 6: Final answer
   x = 2,038.55