Finding the Fourth Proportional to 5,755.64, 7,944.71 and 3,866.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.64 : 7,944.71 = 3,866.58 : x
2. Step 2: Convert to fraction form
   5,755.64/7,944.71 = 3,866.58/x
3. Step 3: Cross multiply
   5,755.64x = 7,944.71 × 3,866.58
4. Step 4: Simplify right side
   5,755.64x = 30,718,837.46
5. Step 5: Solve for x
   x = 30,718,837.46/5,755.64
6. Step 6: Final answer
   x = 5,337.18