Finding the Fourth Proportional to 3,782.87, 5,674.89 and 1,932.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.87 : 5,674.89 = 1,932.98 : x
2. Step 2: Convert to fraction form
   3,782.87/5,674.89 = 1,932.98/x
3. Step 3: Cross multiply
   3,782.87x = 5,674.89 × 1,932.98
4. Step 4: Simplify right side
   3,782.87x = 10,969,420.50
5. Step 5: Solve for x
   x = 10,969,420.50/3,782.87
6. Step 6: Final answer
   x = 2,899.77