Finding the Fourth Proportional to 9,097.05, 13,644.64 and 5,719.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.05 : 13,644.64 = 5,719.98 : x
2. Step 2: Convert to fraction form
   9,097.05/13,644.64 = 5,719.98/x
3. Step 3: Cross multiply
   9,097.05x = 13,644.64 × 5,719.98
4. Step 4: Simplify right side
   9,097.05x = 78,047,067.91
5. Step 5: Solve for x
   x = 78,047,067.91/9,097.05
6. Step 6: Final answer
   x = 8,579.38