Finding the Fourth Proportional to 9,975.67, 13,765.89 and 5,498.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.67 : 13,765.89 = 5,498.53 : x
2. Step 2: Convert to fraction form
   9,975.67/13,765.89 = 5,498.53/x
3. Step 3: Cross multiply
   9,975.67x = 13,765.89 × 5,498.53
4. Step 4: Simplify right side
   9,975.67x = 75,692,159.14
5. Step 5: Solve for x
   x = 75,692,159.14/9,975.67
6. Step 6: Final answer
   x = 7,587.68