Finding the Fourth Proportional to 3,834.96, 5,292.69 and 2,156.43

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.96 : 5,292.69 = 2,156.43 : x
2. Step 2: Convert to fraction form
   3,834.96/5,292.69 = 2,156.43/x
3. Step 3: Cross multiply
   3,834.96x = 5,292.69 × 2,156.43
4. Step 4: Simplify right side
   3,834.96x = 11,413,315.50
5. Step 5: Solve for x
   x = 11,413,315.50/3,834.96
6. Step 6: Final answer
   x = 2,976.12