Finding the Fourth Proportional to 9,800.50, 13,524.69 and 5,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,800.50 : 13,524.69 = 5,384.50 : x
2. Step 2: Convert to fraction form
   9,800.50/13,524.69 = 5,384.50/x
3. Step 3: Cross multiply
   9,800.50x = 13,524.69 × 5,384.50
4. Step 4: Simplify right side
   9,800.50x = 72,823,693.31
5. Step 5: Solve for x
   x = 72,823,693.31/9,800.50
6. Step 6: Final answer
   x = 7,430.61