Finding the Fourth Proportional to 2,740.46, 3,782.30 and 2,649.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.46 : 3,782.30 = 2,649.33 : x
2. Step 2: Convert to fraction form
   2,740.46/3,782.30 = 2,649.33/x
3. Step 3: Cross multiply
   2,740.46x = 3,782.30 × 2,649.33
4. Step 4: Simplify right side
   2,740.46x = 10,020,560.86
5. Step 5: Solve for x
   x = 10,020,560.86/2,740.46
6. Step 6: Final answer
   x = 3,656.53