Finding the Fourth Proportional to 9,256.64, 12,774.18 and 5,064.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.64 : 12,774.18 = 5,064.92 : x
2. Step 2: Convert to fraction form
   9,256.64/12,774.18 = 5,064.92/x
3. Step 3: Cross multiply
   9,256.64x = 12,774.18 × 5,064.92
4. Step 4: Simplify right side
   9,256.64x = 64,700,199.77
5. Step 5: Solve for x
   x = 64,700,199.77/9,256.64
6. Step 6: Final answer
   x = 6,989.60