Finding the Fourth Proportional to 3,914.92, 5,402.59 and 2,146.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.92 : 5,402.59 = 2,146.69 : x
2. Step 2: Convert to fraction form
   3,914.92/5,402.59 = 2,146.69/x
3. Step 3: Cross multiply
   3,914.92x = 5,402.59 × 2,146.69
4. Step 4: Simplify right side
   3,914.92x = 11,597,685.93
5. Step 5: Solve for x
   x = 11,597,685.93/3,914.92
6. Step 6: Final answer
   x = 2,962.43