Finding the Fourth Proportional to 3,830.31, 5,285.82 and 2,238.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.31 : 5,285.82 = 2,238.06 : x
2. Step 2: Convert to fraction form
   3,830.31/5,285.82 = 2,238.06/x
3. Step 3: Cross multiply
   3,830.31x = 5,285.82 × 2,238.06
4. Step 4: Simplify right side
   3,830.31x = 11,829,982.31
5. Step 5: Solve for x
   x = 11,829,982.31/3,830.31
6. Step 6: Final answer
   x = 3,088.52