Finding the Fourth Proportional to 9,401.12, 12,972.84 and 5,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.12 : 12,972.84 = 5,151.50 : x
2. Step 2: Convert to fraction form
   9,401.12/12,972.84 = 5,151.50/x
3. Step 3: Cross multiply
   9,401.12x = 12,972.84 × 5,151.50
4. Step 4: Simplify right side
   9,401.12x = 66,829,520.40
5. Step 5: Solve for x
   x = 66,829,520.40/9,401.12
6. Step 6: Final answer
   x = 7,108.68