Finding the Fourth Proportional to 3,833.50, 5,742.15 and 1,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,833.50 : 5,742.15 = 1,755.25 : x
2. Step 2: Convert to fraction form
   3,833.50/5,742.15 = 1,755.25/x
3. Step 3: Cross multiply
   3,833.50x = 5,742.15 × 1,755.25
4. Step 4: Simplify right side
   3,833.50x = 10,078,908.79
5. Step 5: Solve for x
   x = 10,078,908.79/3,833.50
6. Step 6: Final answer
   x = 2,629.17