Finding the Fourth Proportional to 2,642.13, 3,646.89 and 1,594.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.13 : 3,646.89 = 1,594.26 : x
2. Step 2: Convert to fraction form
   2,642.13/3,646.89 = 1,594.26/x
3. Step 3: Cross multiply
   2,642.13x = 3,646.89 × 1,594.26
4. Step 4: Simplify right side
   2,642.13x = 5,814,090.85
5. Step 5: Solve for x
   x = 5,814,090.85/2,642.13
6. Step 6: Final answer
   x = 2,200.53