Finding the Fourth Proportional to 3,782.37, 5,674.14 and 1,932.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.37 : 5,674.14 = 1,932.48 : x
2. Step 2: Convert to fraction form
   3,782.37/5,674.14 = 1,932.48/x
3. Step 3: Cross multiply
   3,782.37x = 5,674.14 × 1,932.48
4. Step 4: Simplify right side
   3,782.37x = 10,965,162.07
5. Step 5: Solve for x
   x = 10,965,162.07/3,782.37
6. Step 6: Final answer
   x = 2,899.02