Finding the Fourth Proportional to 3,914.34, 5,856.78 and 2,746.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.34 : 5,856.78 = 2,746.62 : x
2. Step 2: Convert to fraction form
   3,914.34/5,856.78 = 2,746.62/x
3. Step 3: Cross multiply
   3,914.34x = 5,856.78 × 2,746.62
4. Step 4: Simplify right side
   3,914.34x = 16,086,349.08
5. Step 5: Solve for x
   x = 16,086,349.08/3,914.34
6. Step 6: Final answer
   x = 4,109.59