Finding the Fourth Proportional to 9,119.53, 12,584.59 and 5,140.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.53 : 12,584.59 = 5,140.54 : x
2. Step 2: Convert to fraction form
   9,119.53/12,584.59 = 5,140.54/x
3. Step 3: Cross multiply
   9,119.53x = 12,584.59 × 5,140.54
4. Step 4: Simplify right side
   9,119.53x = 64,691,588.28
5. Step 5: Solve for x
   x = 64,691,588.28/9,119.53
6. Step 6: Final answer
   x = 7,093.74