Finding the Fourth Proportional to 3,782.89, 5,666.13 and 1,831

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.89 : 5,666.13 = 1,831 : x
2. Step 2: Convert to fraction form
   3,782.89/5,666.13 = 1,831/x
3. Step 3: Cross multiply
   3,782.89x = 5,666.13 × 1,831
4. Step 4: Simplify right side
   3,782.89x = 10,374,684.03
5. Step 5: Solve for x
   x = 10,374,684.03/3,782.89
6. Step 6: Final answer
   x = 2,742.53