Finding the Fourth Proportional to 2,109.78, 3,164.82 and 722.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.78 : 3,164.82 = 722.55 : x
2. Step 2: Convert to fraction form
   2,109.78/3,164.82 = 722.55/x
3. Step 3: Cross multiply
   2,109.78x = 3,164.82 × 722.55
4. Step 4: Simplify right side
   2,109.78x = 2,286,740.69
5. Step 5: Solve for x
   x = 2,286,740.69/2,109.78
6. Step 6: Final answer
   x = 1,083.88