Finding the Fourth Proportional to 2,109.75, 3,164.30 and 722.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.75 : 3,164.30 = 722.77 : x
2. Step 2: Convert to fraction form
   2,109.75/3,164.30 = 722.77/x
3. Step 3: Cross multiply
   2,109.75x = 3,164.30 × 722.77
4. Step 4: Simplify right side
   2,109.75x = 2,287,061.11
5. Step 5: Solve for x
   x = 2,287,061.11/2,109.75
6. Step 6: Final answer
   x = 1,084.04