Finding the Fourth Proportional to 9,256.68, 12,774.24 and 5,065.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.68 : 12,774.24 = 5,065.20 : x
2. Step 2: Convert to fraction form
   9,256.68/12,774.24 = 5,065.20/x
3. Step 3: Cross multiply
   9,256.68x = 12,774.24 × 5,065.20
4. Step 4: Simplify right side
   9,256.68x = 64,704,080.45
5. Step 5: Solve for x
   x = 64,704,080.45/9,256.68
6. Step 6: Final answer
   x = 6,989.99