Finding the Fourth Proportional to 2,642.06, 3,646.10 and 1,633.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.06 : 3,646.10 = 1,633.91 : x
2. Step 2: Convert to fraction form
   2,642.06/3,646.10 = 1,633.91/x
3. Step 3: Cross multiply
   2,642.06x = 3,646.10 × 1,633.91
4. Step 4: Simplify right side
   2,642.06x = 5,957,406.68
5. Step 5: Solve for x
   x = 5,957,406.68/2,642.06
6. Step 6: Final answer
   x = 2,254.83