Finding the Fourth Proportional to 3,830.83, 5,286.56 and 2,152.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.83 : 5,286.56 = 2,152.31 : x
2. Step 2: Convert to fraction form
   3,830.83/5,286.56 = 2,152.31/x
3. Step 3: Cross multiply
   3,830.83x = 5,286.56 × 2,152.31
4. Step 4: Simplify right side
   3,830.83x = 11,378,294.90
5. Step 5: Solve for x
   x = 11,378,294.90/3,830.83
6. Step 6: Final answer
   x = 2,970.19