Finding the Fourth Proportional to 9,257.82, 12,775.78 and 5,066.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257.82 : 12,775.78 = 5,066.06 : x
2. Step 2: Convert to fraction form
   9,257.82/12,775.78 = 5,066.06/x
3. Step 3: Cross multiply
   9,257.82x = 12,775.78 × 5,066.06
4. Step 4: Simplify right side
   9,257.82x = 64,722,868.03
5. Step 5: Solve for x
   x = 64,722,868.03/9,257.82
6. Step 6: Final answer
   x = 6,991.16