Finding the Fourth Proportional to 3,784.50, 5,222.61 and 2,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 5,222.61 = 2,128.50 : x
2. Step 2: Convert to fraction form
   3,784.50/5,222.61 = 2,128.50/x
3. Step 3: Cross multiply
   3,784.50x = 5,222.61 × 2,128.50
4. Step 4: Simplify right side
   3,784.50x = 11,116,325.39
5. Step 5: Solve for x
   x = 11,116,325.39/3,784.50
6. Step 6: Final answer
   x = 2,937.33