Finding the Fourth Proportional to 2,577.33, 3,557.93 and 1,646.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.33 : 3,557.93 = 1,646.37 : x
2. Step 2: Convert to fraction form
   2,577.33/3,557.93 = 1,646.37/x
3. Step 3: Cross multiply
   2,577.33x = 3,557.93 × 1,646.37
4. Step 4: Simplify right side
   2,577.33x = 5,857,660.98
5. Step 5: Solve for x
   x = 5,857,660.98/2,577.33
6. Step 6: Final answer
   x = 2,272.76