Finding the Fourth Proportional to 7,849.37, 11,775.72 and 3,902.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.37 : 11,775.72 = 3,902.78 : x
2. Step 2: Convert to fraction form
   7,849.37/11,775.72 = 3,902.78/x
3. Step 3: Cross multiply
   7,849.37x = 11,775.72 × 3,902.78
4. Step 4: Simplify right side
   7,849.37x = 45,958,044.50
5. Step 5: Solve for x
   x = 45,958,044.50/7,849.37
6. Step 6: Final answer
   x = 5,855.00