Finding the Fourth Proportional to 9,747.92, 14,587.86 and 7,972.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.92 : 14,587.86 = 7,972.40 : x
2. Step 2: Convert to fraction form
   9,747.92/14,587.86 = 7,972.40/x
3. Step 3: Cross multiply
   9,747.92x = 14,587.86 × 7,972.40
4. Step 4: Simplify right side
   9,747.92x = 116,300,255.06
5. Step 5: Solve for x
   x = 116,300,255.06/9,747.92
6. Step 6: Final answer
   x = 11,930.78