Finding the Fourth Proportional to 9,256.55, 12,774.05 and 5,064.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.55 : 12,774.05 = 5,064.80 : x
2. Step 2: Convert to fraction form
   9,256.55/12,774.05 = 5,064.80/x
3. Step 3: Cross multiply
   9,256.55x = 12,774.05 × 5,064.80
4. Step 4: Simplify right side
   9,256.55x = 64,697,919.25
5. Step 5: Solve for x
   x = 64,697,919.25/9,256.55
6. Step 6: Final answer
   x = 6,989.42