Finding the Fourth Proportional to 9,096.05, 13,643.15 and 5,718.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.05 : 13,643.15 = 5,718.98 : x
2. Step 2: Convert to fraction form
   9,096.05/13,643.15 = 5,718.98/x
3. Step 3: Cross multiply
   9,096.05x = 13,643.15 × 5,718.98
4. Step 4: Simplify right side
   9,096.05x = 78,024,805.18
5. Step 5: Solve for x
   x = 78,024,805.18/9,096.05
6. Step 6: Final answer
   x = 8,577.88