Finding the Fourth Proportional to 9,748.56, 13,451.97 and 5,498.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,748.56 : 13,451.97 = 5,498.67 : x
2. Step 2: Convert to fraction form
   9,748.56/13,451.97 = 5,498.67/x
3. Step 3: Cross multiply
   9,748.56x = 13,451.97 × 5,498.67
4. Step 4: Simplify right side
   9,748.56x = 73,967,943.88
5. Step 5: Solve for x
   x = 73,967,943.88/9,748.56
6. Step 6: Final answer
   x = 7,587.58