Finding the Fourth Proportional to 5,182.80, 7,775.76 and 3,105.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.80 : 7,775.76 = 3,105.12 : x
2. Step 2: Convert to fraction form
   5,182.80/7,775.76 = 3,105.12/x
3. Step 3: Cross multiply
   5,182.80x = 7,775.76 × 3,105.12
4. Step 4: Simplify right side
   5,182.80x = 24,144,667.89
5. Step 5: Solve for x
   x = 24,144,667.89/5,182.80
6. Step 6: Final answer
   x = 4,658.61