Finding the Fourth Proportional to 9,767.61, 13,478.50 and 5,519.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.61 : 13,478.50 = 5,519.04 : x
2. Step 2: Convert to fraction form
   9,767.61/13,478.50 = 5,519.04/x
3. Step 3: Cross multiply
   9,767.61x = 13,478.50 × 5,519.04
4. Step 4: Simplify right side
   9,767.61x = 74,388,380.64
5. Step 5: Solve for x
   x = 74,388,380.64/9,767.61
6. Step 6: Final answer
   x = 7,615.82