Finding the Fourth Proportional to 3,784.14, 5,222.10 and 2,128.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.14 : 5,222.10 = 2,128.14 : x
2. Step 2: Convert to fraction form
   3,784.14/5,222.10 = 2,128.14/x
3. Step 3: Cross multiply
   3,784.14x = 5,222.10 × 2,128.14
4. Step 4: Simplify right side
   3,784.14x = 11,113,359.89
5. Step 5: Solve for x
   x = 11,113,359.89/3,784.14
6. Step 6: Final answer
   x = 2,936.83