Finding the Fourth Proportional to 9,256.78, 12,774.72 and 5,065.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.78 : 12,774.72 = 5,065.06 : x
2. Step 2: Convert to fraction form
   9,256.78/12,774.72 = 5,065.06/x
3. Step 3: Cross multiply
   9,256.78x = 12,774.72 × 5,065.06
4. Step 4: Simplify right side
   9,256.78x = 64,704,723.28
5. Step 5: Solve for x
   x = 64,704,723.28/9,256.78
6. Step 6: Final answer
   x = 6,989.98