Finding the Fourth Proportional to 3,830.35, 5,285.69 and 2,151.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.35 : 5,285.69 = 2,151.83 : x
2. Step 2: Convert to fraction form
   3,830.35/5,285.69 = 2,151.83/x
3. Step 3: Cross multiply
   3,830.35x = 5,285.69 × 2,151.83
4. Step 4: Simplify right side
   3,830.35x = 11,373,882.34
5. Step 5: Solve for x
   x = 11,373,882.34/3,830.35
6. Step 6: Final answer
   x = 2,969.41