Finding the Fourth Proportional to 2,642.56, 3,646.56 and 1,595.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.56 : 3,646.56 = 1,595.20 : x
2. Step 2: Convert to fraction form
   2,642.56/3,646.56 = 1,595.20/x
3. Step 3: Cross multiply
   2,642.56x = 3,646.56 × 1,595.20
4. Step 4: Simplify right side
   2,642.56x = 5,816,992.51
5. Step 5: Solve for x
   x = 5,816,992.51/2,642.56
6. Step 6: Final answer
   x = 2,201.27