Finding the Fourth Proportional to 3,826.50, 5,734.14 and 1,880.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.50 : 5,734.14 = 1,880.10 : x
2. Step 2: Convert to fraction form
   3,826.50/5,734.14 = 1,880.10/x
3. Step 3: Cross multiply
   3,826.50x = 5,734.14 × 1,880.10
4. Step 4: Simplify right side
   3,826.50x = 10,780,756.61
5. Step 5: Solve for x
   x = 10,780,756.61/3,826.50
6. Step 6: Final answer
   x = 2,817.39