Finding the Fourth Proportional to 2,137.11, 3,200.35 and 1,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.11 : 3,200.35 = 1,828.50 : x
2. Step 2: Convert to fraction form
   2,137.11/3,200.35 = 1,828.50/x
3. Step 3: Cross multiply
   2,137.11x = 3,200.35 × 1,828.50
4. Step 4: Simplify right side
   2,137.11x = 5,851,839.98
5. Step 5: Solve for x
   x = 5,851,839.98/2,137.11
6. Step 6: Final answer
   x = 2,738.20