Finding the Fourth Proportional to 9,975.20, 13,765.69 and 5,498.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.20 : 13,765.69 = 5,498.96 : x
2. Step 2: Convert to fraction form
   9,975.20/13,765.69 = 5,498.96/x
3. Step 3: Cross multiply
   9,975.20x = 13,765.69 × 5,498.96
4. Step 4: Simplify right side
   9,975.20x = 75,696,978.68
5. Step 5: Solve for x
   x = 75,696,978.68/9,975.20
6. Step 6: Final answer
   x = 7,588.52