Finding the Fourth Proportional to 2,826.64, 3,902.72 and 2,162.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826.64 : 3,902.72 = 2,162.34 : x
2. Step 2: Convert to fraction form
   2,826.64/3,902.72 = 2,162.34/x
3. Step 3: Cross multiply
   2,826.64x = 3,902.72 × 2,162.34
4. Step 4: Simplify right side
   2,826.64x = 8,438,996.75
5. Step 5: Solve for x
   x = 8,438,996.75/2,826.64
6. Step 6: Final answer
   x = 2,985.52