Finding the Fourth Proportional to 3,784.59, 5,222.61 and 2,106

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.59 : 5,222.61 = 2,106 : x
2. Step 2: Convert to fraction form
   3,784.59/5,222.61 = 2,106/x
3. Step 3: Cross multiply
   3,784.59x = 5,222.61 × 2,106
4. Step 4: Simplify right side
   3,784.59x = 10,998,816.66
5. Step 5: Solve for x
   x = 10,998,816.66/3,784.59
6. Step 6: Final answer
   x = 2,906.21