Finding the Fourth Proportional to 9,256.56, 12,774 and 5,064.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.56 : 12,774 = 5,064.72 : x
2. Step 2: Convert to fraction form
   9,256.56/12,774 = 5,064.72/x
3. Step 3: Cross multiply
   9,256.56x = 12,774 × 5,064.72
4. Step 4: Simplify right side
   9,256.56x = 64,696,733.28
5. Step 5: Solve for x
   x = 64,696,733.28/9,256.56
6. Step 6: Final answer
   x = 6,989.28