Finding the Fourth Proportional to 9,256.75, 12,774.32 and 5,065.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.75 : 12,774.32 = 5,065.09 : x
2. Step 2: Convert to fraction form
   9,256.75/12,774.32 = 5,065.09/x
3. Step 3: Cross multiply
   9,256.75x = 12,774.32 × 5,065.09
4. Step 4: Simplify right side
   9,256.75x = 64,703,080.49
5. Step 5: Solve for x
   x = 64,703,080.49/9,256.75
6. Step 6: Final answer
   x = 6,989.83