Finding the Fourth Proportional to 5,757.84, 7,947.12 and 4,077.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,757.84 : 7,947.12 = 4,077.48 : x
2. Step 2: Convert to fraction form
   5,757.84/7,947.12 = 4,077.48/x
3. Step 3: Cross multiply
   5,757.84x = 7,947.12 × 4,077.48
4. Step 4: Simplify right side
   5,757.84x = 32,404,222.86
5. Step 5: Solve for x
   x = 32,404,222.86/5,757.84
6. Step 6: Final answer
   x = 5,627.84