Finding the Fourth Proportional to 2,642.37, 3,646.65 and 1,634.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.37 : 3,646.65 = 1,634.30 : x
2. Step 2: Convert to fraction form
   2,642.37/3,646.65 = 1,634.30/x
3. Step 3: Cross multiply
   2,642.37x = 3,646.65 × 1,634.30
4. Step 4: Simplify right side
   2,642.37x = 5,959,701.86
5. Step 5: Solve for x
   x = 5,959,701.86/2,642.37
6. Step 6: Final answer
   x = 2,255.44