Finding the Fourth Proportional to 9,797.76, 14,637.12 and 7,002.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,797.76 : 14,637.12 = 7,002.24 : x
2. Step 2: Convert to fraction form
   9,797.76/14,637.12 = 7,002.24/x
3. Step 3: Cross multiply
   9,797.76x = 14,637.12 × 7,002.24
4. Step 4: Simplify right side
   9,797.76x = 102,492,627.15
5. Step 5: Solve for x
   x = 102,492,627.15/9,797.76
6. Step 6: Final answer
   x = 10,460.82