Finding the Fourth Proportional to 9,096.88, 13,647.78 and 5,204.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.88 : 13,647.78 = 5,204.08 : x
2. Step 2: Convert to fraction form
   9,096.88/13,647.78 = 5,204.08/x
3. Step 3: Cross multiply
   9,096.88x = 13,647.78 × 5,204.08
4. Step 4: Simplify right side
   9,096.88x = 71,024,138.94
5. Step 5: Solve for x
   x = 71,024,138.94/9,096.88
6. Step 6: Final answer
   x = 7,807.53