Finding the Fourth Proportional to 3,786.69, 5,680.10 and 1,932.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.69 : 5,680.10 = 1,932.57 : x
2. Step 2: Convert to fraction form
   3,786.69/5,680.10 = 1,932.57/x
3. Step 3: Cross multiply
   3,786.69x = 5,680.10 × 1,932.57
4. Step 4: Simplify right side
   3,786.69x = 10,977,181.19
5. Step 5: Solve for x
   x = 10,977,181.19/3,786.69
6. Step 6: Final answer
   x = 2,898.89