Finding the Fourth Proportional to 3,834.82, 5,292.52 and 2,156.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.82 : 5,292.52 = 2,156.30 : x
2. Step 2: Convert to fraction form
   3,834.82/5,292.52 = 2,156.30/x
3. Step 3: Cross multiply
   3,834.82x = 5,292.52 × 2,156.30
4. Step 4: Simplify right side
   3,834.82x = 11,412,260.88
5. Step 5: Solve for x
   x = 11,412,260.88/3,834.82
6. Step 6: Final answer
   x = 2,975.96