Finding the Fourth Proportional to 2,145.16, 3,217.42 and 1,782.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.16 : 3,217.42 = 1,782.28 : x
2. Step 2: Convert to fraction form
   2,145.16/3,217.42 = 1,782.28/x
3. Step 3: Cross multiply
   2,145.16x = 3,217.42 × 1,782.28
4. Step 4: Simplify right side
   2,145.16x = 5,734,343.32
5. Step 5: Solve for x
   x = 5,734,343.32/2,145.16
6. Step 6: Final answer
   x = 2,673.15