Finding the Fourth Proportional to 2,656.78, 3,666.24 and 1,477.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.78 : 3,666.24 = 1,477.96 : x
2. Step 2: Convert to fraction form
   2,656.78/3,666.24 = 1,477.96/x
3. Step 3: Cross multiply
   2,656.78x = 3,666.24 × 1,477.96
4. Step 4: Simplify right side
   2,656.78x = 5,418,556.07
5. Step 5: Solve for x
   x = 5,418,556.07/2,656.78
6. Step 6: Final answer
   x = 2,039.52