Finding the Fourth Proportional to 9,097.56, 13,641.48 and 2,856.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.56 : 13,641.48 = 2,856.42 : x
2. Step 2: Convert to fraction form
   9,097.56/13,641.48 = 2,856.42/x
3. Step 3: Cross multiply
   9,097.56x = 13,641.48 × 2,856.42
4. Step 4: Simplify right side
   9,097.56x = 38,965,796.30
5. Step 5: Solve for x
   x = 38,965,796.30/9,097.56
6. Step 6: Final answer
   x = 4,283.10