Finding the Fourth Proportional to 2,012.23, 2,778.18 and 1,640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.23 : 2,778.18 = 1,640.10 : x
2. Step 2: Convert to fraction form
   2,012.23/2,778.18 = 1,640.10/x
3. Step 3: Cross multiply
   2,012.23x = 2,778.18 × 1,640.10
4. Step 4: Simplify right side
   2,012.23x = 4,556,493.02
5. Step 5: Solve for x
   x = 4,556,493.02/2,012.23
6. Step 6: Final answer
   x = 2,264.40