Finding the Fourth Proportional to 5,755.89, 7,936.25 and 4,077.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.89 : 7,936.25 = 4,077.57 : x
2. Step 2: Convert to fraction form
   5,755.89/7,936.25 = 4,077.57/x
3. Step 3: Cross multiply
   5,755.89x = 7,936.25 × 4,077.57
4. Step 4: Simplify right side
   5,755.89x = 32,360,585.43
5. Step 5: Solve for x
   x = 32,360,585.43/5,755.89
6. Step 6: Final answer
   x = 5,622.17