Finding the Fourth Proportional to 3,834.42, 5,290.56 and 2,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.42 : 5,290.56 = 2,155.50 : x
2. Step 2: Convert to fraction form
   3,834.42/5,290.56 = 2,155.50/x
3. Step 3: Cross multiply
   3,834.42x = 5,290.56 × 2,155.50
4. Step 4: Simplify right side
   3,834.42x = 11,403,802.08
5. Step 5: Solve for x
   x = 11,403,802.08/3,834.42
6. Step 6: Final answer
   x = 2,974.06