Finding the Fourth Proportional to 2,826.40, 3,902.37 and 2,162.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826.40 : 3,902.37 = 2,162.09 : x
2. Step 2: Convert to fraction form
   2,826.40/3,902.37 = 2,162.09/x
3. Step 3: Cross multiply
   2,826.40x = 3,902.37 × 2,162.09
4. Step 4: Simplify right side
   2,826.40x = 8,437,275.15
5. Step 5: Solve for x
   x = 8,437,275.15/2,826.40
6. Step 6: Final answer
   x = 2,985.17