Finding the Fourth Proportional to 9,119.54, 12,584.01 and 5,141.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.54 : 12,584.01 = 5,141.26 : x
2. Step 2: Convert to fraction form
   9,119.54/12,584.01 = 5,141.26/x
3. Step 3: Cross multiply
   9,119.54x = 12,584.01 × 5,141.26
4. Step 4: Simplify right side
   9,119.54x = 64,697,667.25
5. Step 5: Solve for x
   x = 64,697,667.25/9,119.54
6. Step 6: Final answer
   x = 7,094.40