Finding the Fourth Proportional to 9,118.89, 12,584.12 and 5,140.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,118.89 : 12,584.12 = 5,140.08 : x
2. Step 2: Convert to fraction form
   9,118.89/12,584.12 = 5,140.08/x
3. Step 3: Cross multiply
   9,118.89x = 12,584.12 × 5,140.08
4. Step 4: Simplify right side
   9,118.89x = 64,683,357.83
5. Step 5: Solve for x
   x = 64,683,357.83/9,118.89
6. Step 6: Final answer
   x = 7,093.34