Finding the Fourth Proportional to 3,840.12, 5,761.80 and 2,106.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840.12 : 5,761.80 = 2,106.72 : x
2. Step 2: Convert to fraction form
   3,840.12/5,761.80 = 2,106.72/x
3. Step 3: Cross multiply
   3,840.12x = 5,761.80 × 2,106.72
4. Step 4: Simplify right side
   3,840.12x = 12,138,499.30
5. Step 5: Solve for x
   x = 12,138,499.30/3,840.12
6. Step 6: Final answer
   x = 3,160.97