Finding the Fourth Proportional to 2,137.20, 3,189.42 and 1,647.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.20 : 3,189.42 = 1,647.60 : x
2. Step 2: Convert to fraction form
   2,137.20/3,189.42 = 1,647.60/x
3. Step 3: Cross multiply
   2,137.20x = 3,189.42 × 1,647.60
4. Step 4: Simplify right side
   2,137.20x = 5,254,888.39
5. Step 5: Solve for x
   x = 5,254,888.39/2,137.20
6. Step 6: Final answer
   x = 2,458.77