Finding the Fourth Proportional to 3,834.88, 5,748.42 and 2,166.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.88 : 5,748.42 = 2,166.58 : x
2. Step 2: Convert to fraction form
   3,834.88/5,748.42 = 2,166.58/x
3. Step 3: Cross multiply
   3,834.88x = 5,748.42 × 2,166.58
4. Step 4: Simplify right side
   3,834.88x = 12,454,411.80
5. Step 5: Solve for x
   x = 12,454,411.80/3,834.88
6. Step 6: Final answer
   x = 3,247.67