Finding the Fourth Proportional to 3,765.82, 5,647.47 and 1,300.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.82 : 5,647.47 = 1,300.57 : x
2. Step 2: Convert to fraction form
   3,765.82/5,647.47 = 1,300.57/x
3. Step 3: Cross multiply
   3,765.82x = 5,647.47 × 1,300.57
4. Step 4: Simplify right side
   3,765.82x = 7,344,930.06
5. Step 5: Solve for x
   x = 7,344,930.06/3,765.82
6. Step 6: Final answer
   x = 1,950.42