Finding the Fourth Proportional to 9,767.59, 13,478.47 and 5,519.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.59 : 13,478.47 = 5,519.02 : x
2. Step 2: Convert to fraction form
   9,767.59/13,478.47 = 5,519.02/x
3. Step 3: Cross multiply
   9,767.59x = 13,478.47 × 5,519.02
4. Step 4: Simplify right side
   9,767.59x = 74,387,898.01
5. Step 5: Solve for x
   x = 74,387,898.01/9,767.59
6. Step 6: Final answer
   x = 7,615.79