Finding the Fourth Proportional to 3,876.66, 5,817.42 and 2,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.66 : 5,817.42 = 2,146.50 : x
2. Step 2: Convert to fraction form
   3,876.66/5,817.42 = 2,146.50/x
3. Step 3: Cross multiply
   3,876.66x = 5,817.42 × 2,146.50
4. Step 4: Simplify right side
   3,876.66x = 12,487,092.03
5. Step 5: Solve for x
   x = 12,487,092.03/3,876.66
6. Step 6: Final answer
   x = 3,221.10