Finding the Fourth Proportional to 3,835.50, 5,292.60 and 2,156.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.50 : 5,292.60 = 2,156.82 : x
2. Step 2: Convert to fraction form
   3,835.50/5,292.60 = 2,156.82/x
3. Step 3: Cross multiply
   3,835.50x = 5,292.60 × 2,156.82
4. Step 4: Simplify right side
   3,835.50x = 11,415,185.53
5. Step 5: Solve for x
   x = 11,415,185.53/3,835.50
6. Step 6: Final answer
   x = 2,976.19