Finding the Fourth Proportional to 9,468.50, 13,066.58 and 5,491.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,468.50 : 13,066.58 = 5,491.97 : x
2. Step 2: Convert to fraction form
   9,468.50/13,066.58 = 5,491.97/x
3. Step 3: Cross multiply
   9,468.50x = 13,066.58 × 5,491.97
4. Step 4: Simplify right side
   9,468.50x = 71,761,213.76
5. Step 5: Solve for x
   x = 71,761,213.76/9,468.50
6. Step 6: Final answer
   x = 7,578.94