Finding the Fourth Proportional to 9,256.37, 12,774.10 and 5,064.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.37 : 12,774.10 = 5,064.62 : x
2. Step 2: Convert to fraction form
   9,256.37/12,774.10 = 5,064.62/x
3. Step 3: Cross multiply
   9,256.37x = 12,774.10 × 5,064.62
4. Step 4: Simplify right side
   9,256.37x = 64,695,937.02
5. Step 5: Solve for x
   x = 64,695,937.02/9,256.37
6. Step 6: Final answer
   x = 6,989.34