Finding the Fourth Proportional to 9,493.56, 14,227.92 and 5,101.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,493.56 : 14,227.92 = 5,101.56 : x
2. Step 2: Convert to fraction form
   9,493.56/14,227.92 = 5,101.56/x
3. Step 3: Cross multiply
   9,493.56x = 14,227.92 × 5,101.56
4. Step 4: Simplify right side
   9,493.56x = 72,584,587.56
5. Step 5: Solve for x
   x = 72,584,587.56/9,493.56
6. Step 6: Final answer
   x = 7,645.67