Finding the Fourth Proportional to 3,784.78, 5,222.64 and 2,106.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.78 : 5,222.64 = 2,106.06 : x
2. Step 2: Convert to fraction form
   3,784.78/5,222.64 = 2,106.06/x
3. Step 3: Cross multiply
   3,784.78x = 5,222.64 × 2,106.06
4. Step 4: Simplify right side
   3,784.78x = 10,999,193.20
5. Step 5: Solve for x
   x = 10,999,193.20/3,784.78
6. Step 6: Final answer
   x = 2,906.16