Finding the Fourth Proportional to 9,256.57, 12,774.03 and 5,007.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.57 : 12,774.03 = 5,007.63 : x
2. Step 2: Convert to fraction form
   9,256.57/12,774.03 = 5,007.63/x
3. Step 3: Cross multiply
   9,256.57x = 12,774.03 × 5,007.63
4. Step 4: Simplify right side
   9,256.57x = 63,967,615.85
5. Step 5: Solve for x
   x = 63,967,615.85/9,256.57
6. Step 6: Final answer
   x = 6,910.51