Finding the Fourth Proportional to 3,633.77, 5,013.92 and 2,142.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.77 : 5,013.92 = 2,142.16 : x
2. Step 2: Convert to fraction form
   3,633.77/5,013.92 = 2,142.16/x
3. Step 3: Cross multiply
   3,633.77x = 5,013.92 × 2,142.16
4. Step 4: Simplify right side
   3,633.77x = 10,740,611.69
5. Step 5: Solve for x
   x = 10,740,611.69/3,633.77
6. Step 6: Final answer
   x = 2,955.77